Fundamentals of Math

Fundamentals of Mathematics

How to Convert a Fraction to a Percent

3 5

1. Divide the denominator into the numerator

= 3 ÷ 5 = 0.6

2. Multiply the quotient by 100.

0.6 × 100 = 60

3. Place a percent sign at the end of your solution.

60%

How to Convert a Percent to a Fraction 1. Place the percentage in the numerator, put 100 in the denominator, and drop the percent sign.

15.5 100

15.5% →

2. If the numerator is a whole number proceed to step 3. If it is not a whole number, then you must create an equivalent fraction. Multiply the numerator and denominator by equal powers of 10 to get rid of the decimal. The final decimal point in the ... • Tenths place → Multiply by 10 • Hundredths place → Multiply by 100 • Thousandths place → Multiply by 1000

15.5 × 10 100 × 10

155 1000

=

155 ÷ 5 1000 ÷ 5

31 200

3. Simply the fraction if possible.

=

Practice 2.4

Directions: Complete the chart by converting the fraction, decimal, or percentage into its equivalent form (by row). All fractions should be simplified if possible.

Fraction

Decimal

Percentage

1.

1 8

2.

30%

3.

0.625

4.

7 10

5.

0.74

Answer Key on Page 118

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