How to find out a mixed fraction from an improper fraction

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PSAT Math › How to find out a mixed fraction from an improper fraction

Questions 1 - 3

If , what does equal?

$6\tfrac{2}{3}$

$7\tfrac{1}{3}$

$8\tfrac{1}{3}$

$6\tfrac{1}{3}$

$7\tfrac{2}{3}$

Explanation

First, you must solve the equation for . Then, you must convert the answer's improper fraction to a mixed fraction.

Solve for .

$x = \frac{20}{3}$

Now, to convert an improper fraction, you must see how many times the denominator goes into the numerator, and then leave the remainder as a fraction. Example below:

Find out how many times the denominator goes into the numerator:

$20\div3 = 6, remainder 2$

Therefore,

$x = 6\tfrac{2}{3}$

What is $\frac{17}{12}$ written as a mixed number?

$1\frac{5}{12}$

$\frac{7}{12}$

$2\frac{1}{6}$

$3\frac{1}{2}$

$1\frac{1}{3}$

Explanation

How many times does 12 go into 17? Once with a remainder of 5.

So $\frac{17}{12}$ becomes $1\frac{5}{12}$

To make 48 cookies you need 1 cup white sugar, 1 cup packed brown sugar and 3 cups of flour. You want to make 12 cookies, so you adjust the ingredients accordingly. After the adjustment, how many total cups of dry ingredients do you have?

3/4 c

1/4 c

1 1/4 c

1 1/2 c

1 3/4 c

Explanation

Going from 48 cookies to 12 cookies is a scaling factor of 1/4, so all the ingredients get multiplied by 1/4. In order to make 12 cookies you will need 1/4 c white sugar, 1/4 c packed brown sugar, and 3/4 c flour. Added all together you get 5/4 or 1 1/4 c.

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