Card 0 of 306
Simplify:
Begin by multiplying all of your decimal fractions by :
Simplify:
Now perform the multiplication:
The easiest thing to do next is to subtract from
:
Next, convert into the fraction
:
Now, the common denominator can be :
Simplify:
Compare your answer with the correct one above
Convert 0.825 into a fraction.
0.825 in fraction form is . Simplifying the fraction equals
.
Compare your answer with the correct one above
If ,
can equal which of the following?
Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively. Therefore, the only answer which is within the desired range is 2/5.
Compare your answer with the correct one above
Find the sum of the following:
To get the decimal from a fraction, divide the numerator by the denominator
Compare your answer with the correct one above
When 5/11 is written as a decimal, what is the 100th digit to the right of the decimal point?
When 5 is divided by 11, the decimal is 0.45 repeating, with a 5 in the hundreths place. The key here is to recognize that 100 is an even number, and the 5 in 0.45 is two places to the right of the decimal point (2 also being an even number).
Compare your answer with the correct one above
Find the sum to the nearest hundredth:
1. Convert the fractions to decimals by division:
2. Add the corresponding whole numbers to the decimals:
3. Add the two decimals:
Compare your answer with the correct one above
Write 0.45 as a fraction.
.45 is equivalent to 45 out of 100, or .
Divide both the numerator and denominator by 5 to simplify the fraction:
Compare your answer with the correct one above
What is equivalent to?
We need to convert into a fraction.
To do this, write down
Now, because the decimal goes to the hundreth place, multiply the numerator and denominator of the fraction by 100.
Now, simplify the fraction.
Compare your answer with the correct one above
Convert this decimal to a fraction in reduced form:
To figure out what fraction this decimal corresponds to, we have to get rid of the repeating part, otherwise we would be dealing with an infinite recursion and we don't have the tools to deal with that yet. Instead, we will set the decimal equal to and multiply it by 10, and also multiply it by 100.
Notice that in and
we have the same repeating decimal part. So if we subtract them, it disappears:
Now all that remains is to do the algebra.
is our final answer.
Compare your answer with the correct one above
A tub of food contains pounds of vegetables,
pounds of lard, and
pounds of sausage. What is its total weight as an improper fraction?
To begin with, it is easiest just to add these decimals together using your calculator:
Now, this is the same thing as:
We can rewrite this:
To find this, you need to give the two numbers a common denominator:
This is your answer.
Compare your answer with the correct one above
What is the fractional equivalent of ?
In decimal form is said 33 hundredths.
This is equal to
.
This fraction cannot be reduced any further therefore it is in its final answer form.
Compare your answer with the correct one above
What is the fractional equivalent of ?
To find the fractional equivalent of a decimal, set the decimal as a fraction over , then multiply top and bottom by one power of
for each digit after the decimal. In this case, we have two digits after the decimal, so we multiply top and bottom by
:
Now, start simplifying.
Since we cannot reduce further, .
Compare your answer with the correct one above
Simplify:
1. Convert all of your decimal fractions to normal fractions by multiplying each by :
2. Find the least common denominator for all of the fractions and use that denominator:
In this case it's 7 x 9 x 10 = 630
3. Add together all of the fractions you now have:
4. Simplify this fraction into a mixed number:
Compare your answer with the correct one above
Simplify:
1. Multiply the two fractions together in decimal form:
2. Multiply the new fraction by 10,000/10,000:
3. Simplify this fraction using the greatest common factor:
In this case the GCF is 15:
Compare your answer with the correct one above
What is the decimal value for ?
Compare your answer with the correct one above
What is the fraction value of 0.833?
Compare your answer with the correct one above
A '95 Chevy Silverado acheives maximum fuel efficiency on a level highway and ideal road conditions at 25 mpg. Driving in the city, the fuel efficiency decreases to about 15 mpg. What is the percent fuel efficiency the truck has in city driving conditions?
Finding the % fuel efficiency for city driving starts with setting up a fraction with the maximum niles per gallon as your denominator and your actual mpg as your numerator:
This fraction can be simplified into a decimal:
Which, when multiplied by 100% will give you your % fuel efficiency:
0.6 x 100% = 60%
Compare your answer with the correct one above
Wind energy is big business in countries like the Netherlands. If a wind turbine is designed to spin at a maximum rate of 250 rotations per minute (RPM) but due to large trees and other obstructions, the mill only spins at 185 RPM, what is the percent efficiency?
0.74 x 100% = 74% Efficiency
Compare your answer with the correct one above
What is the fraction value of the decimal 0.11?
If we were to divide 1 by the decimal value we get:
From this we can determine that 1 is our numerator and 9 is our denominator, giving us:
Compare your answer with the correct one above
There is a high proportion of people who work in investment banking who are also involved with fraud. Industry specialists place the figure at a decimal value of 0.05. If a firm hires 200 stock brokers, how many of them are likely involved with fraudulent schemes?
The decimal value 0.05 can be put into fraction form as such:
Now that we know the fraction proportion of fraudulent investors, we can determine how many of the 200 employed may be guilty of fraud:
Compare your answer with the correct one above