ACT Math : Decimals with Fractions
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Example Questions
Example Question #11 : Decimals With Fractions
There are 12 slices in a large pizza. If a decimal value of 0.583 of the pizza has been eaten, how many slices remain?
We can determine how many slices of pizza have been eaten by multiplying tyhe decimal value by the total number of slices:
7 slices have been eaten, leaving us with 5 remaining 12 slices.
Example Question #122 : Fractions
Convert 
To convert this decimal to a fraction, rewrite 
In the numerator, move the decimal place in 
The answer is 
Example Question #13 : Decimals With Fractions
What fraction is 
Divide 
Move the decimal place on the numerator 4 units to the right. Add as many zeros as placeholders for the denominator as many times as the decimal has moved. In other words multiply the numerator and denominator by 10000.
The correct answer is:
Example Question #14 : Decimals With Fractions
What is the fractional equivalent of the sum 
First simplify 
Since 
This fraction can be reduced fully by using common factors. Simplify.
Example Question #12 : Decimals With Fractions
An acid-water solution is made in which 65% of the solution is water by volume. How many liters of acid are there in 50 liters of the solution?
38.5
32.5
17.5
12.5
17.5
35% of the solution is acid, therefore 0.35 * 50 = 17.5.
Example Question #1 : How To Find The Decimal Equivalent Of A Fraction
0.3 < 1/3
4 > √17
1/2 < 1/8
–|–6| = 6
Which of the above statements is true?
1/2 < 1/8
–|–6| = 6
0.3 < 1/3
4 > √17
0.3 < 1/3
The best approach to this equation is to evaluate each of the equations and inequalities. The absolute value of –6 is 6, but the opposite of that value indicated by the “–“ is –6, which does not equal 6.
1/2 is 0.5, while 1/8 is 0.125 so 0.5 > 0.125.
√17 has to be slightly more than the √16, which equals 4, so“>” should be “<”.
Finally, the fraction 1/3 has repeating 3s which makes it larger than 3/10 so it is true.
Example Question #1 : How To Find The Decimal Equivalent Of A Fraction
How much less is 
Example Question #12 : Decimals With Fractions
The ogre under the bridge eats 
1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.
1/4 * 1/5 = 1/20 = 5%
Example Question #2 : Decimals With Fractions
Which of the following numbers is between 1/5 and 1/6?
0.13
0.19
0.22
0.25
0.16
0.19
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Example Question #13 : Decimals With Fractions
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
1/10
2/7
8/9
9/15
3/5
2/7
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
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