How to subtract fractions - SSAT Middle Level Quantitative
Card 1 of 452
Tim mowed
of the yard and Tom mowed
. How much more of the yard did Tom mow?
Tim mowed of the yard and Tom mowed
. How much more of the yard did Tom mow?
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In order to solve this problem, we first need to make common denominators.


Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

In order to solve this problem, we first need to make common denominators.
Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.
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Select the fraction model that shows the difference of 
Select the fraction model that shows the difference of
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The fraction model is broken up into four pieces and three of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
The fraction model is broken up into four pieces and three of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
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Select the fraction model that shows the difference of 
Select the fraction model that shows the difference of
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The fraction model is broken up into six pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
The fraction model is broken up into six pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
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Select the fraction model that shows the difference of 
Select the fraction model that shows the difference of
Tap to reveal answer

The fraction model is broken up into six pieces and three of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
The fraction model is broken up into six pieces and three of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
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Select the fraction model that shows the difference of 
Select the fraction model that shows the difference of
Tap to reveal answer

The fraction model is broken up into six pieces and four of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
The fraction model is broken up into six pieces and four of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.
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hours is how many more minutes than
hours?
hours is how many more minutes than
hours?
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This question requires you to subtract fractions as well as convert hours to minutes.
Subtracting
hours
from
hours 
you get
hours
.
3 hours is 180 minutes 
and
of an hour is 45 minutes
.
Thus the answer is

This question requires you to subtract fractions as well as convert hours to minutes.
Subtracting hours
from
hours
you get hours
.
3 hours is 180 minutes
and of an hour is 45 minutes
.
Thus the answer is
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Evaluate:

Evaluate:
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"Borrow" 1 from the 9 to form
. You can then subtract integers and fractions vertically:



"Borrow" 1 from the 9 to form . You can then subtract integers and fractions vertically:
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Evaluate:

Evaluate:
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Rewrite as the difference of improper fractions:

Rewrite with a common denominator, then subtract numerators:

Rewrite as a mixed number:


Rewrite as the difference of improper fractions:
Rewrite with a common denominator, then subtract numerators:
Rewrite as a mixed number:
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Evaluate:

Evaluate:
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Rewrite as the difference of improper fractions:

Rewrite with a common denominator, then subtract numerators:

Rewrite as a mixed number:

so

Rewrite as the difference of improper fractions:
Rewrite with a common denominator, then subtract numerators:
Rewrite as a mixed number:
so
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Evaluate:

Evaluate:
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"Borrow" 1 from the 5 to form
. You can then subtract integers and fractions vertically:



"Borrow" 1 from the 5 to form . You can then subtract integers and fractions vertically:
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Give the result in simplest form:

Give the result in simplest form:
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Evaluate:

Evaluate:
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Subtract vertically by aligning the decimal points, making sure you append the 8 with a decimal point and two placeholder zeroes:



Subtract vertically by aligning the decimal points, making sure you append the 8 with a decimal point and two placeholder zeroes:
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Evaluate:

Evaluate:
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By order of operations, subtractions and additions are carried out in left-to-right order, so subtract 1.73 from 7.89 first. This is best done vertically, aligning decimal points:



Now add 2.50 to the difference (note that a zero has been added to the end), again aligning vertically by decimal point:



By order of operations, subtractions and additions are carried out in left-to-right order, so subtract 1.73 from 7.89 first. This is best done vertically, aligning decimal points:
Now add 2.50 to the difference (note that a zero has been added to the end), again aligning vertically by decimal point:
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Subtract:

Subtract:
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Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending zeroes to the 19.)

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending zeroes to the 19.)
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Subtract

Subtract
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Rewrite the first fraction in eighths, as
:

Write vertically:


Now "borrow" one from 7 and add it to the
, then subtract integer and fractional parts separately:



Rewrite the first fraction in eighths, as :
Write vertically:
Now "borrow" one from 7 and add it to the , then subtract integer and fractional parts separately:
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Which of the following expressions is equal to
?
Which of the following expressions is equal to ?
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Rewrite
as a decimal:
, so

Now subtract:



Rewrite as a decimal:
, so
Now subtract:
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Find
.
Find .
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When substracting one fraction from another, first find the common denominator, then subtract one numerator from another.


When substracting one fraction from another, first find the common denominator, then subtract one numerator from another.
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Which of the following is the difference of seven tenths and seventeen hundredths?
Which of the following is the difference of seven tenths and seventeen hundredths?
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Seven tenths is equal to 0.7; seventeen hundredths is equal to 0.17. Subtract them, rewriting 0.7 as 0.70;



Seven tenths is equal to 0.7; seventeen hundredths is equal to 0.17. Subtract them, rewriting 0.7 as 0.70;
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The time is now 1:32 PM. What time was it three hours and seventeen minutes ago?
The time is now 1:32 PM. What time was it three hours and seventeen minutes ago?
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One hour and thirty-two minutes have elapsed since midnight. Since three hours and seventeen minutes make a greater quantity, we need to look at this as thirteen hours and thirty-two minutes having elapsed since noon.
We can subtract hours, then subtract minutes:



The time was 10:15 AM.
One hour and thirty-two minutes have elapsed since midnight. Since three hours and seventeen minutes make a greater quantity, we need to look at this as thirteen hours and thirty-two minutes having elapsed since noon.
We can subtract hours, then subtract minutes:
The time was 10:15 AM.
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Evaluate:

Evaluate:
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By the order of operations, carry out the multiplication first, then the leftmost subtraction, then the rightmost subtraction:




By the order of operations, carry out the multiplication first, then the leftmost subtraction, then the rightmost subtraction:
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