Converting 7.64 to a Fraction
Step-by-step explanation of how to convert 7.64 to a fraction

Result

7.64 =
191
25
Mixed number:
7
16
25

Step 1: Identify the number of decimal places

The decimal 7.64 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

7.64 × 100 = 764

Step 3: Write as a fraction

7.64 =

764
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 764 and 100.

GCD(764, 100) = 4

Divide both the numerator and denominator by the GCD:

764
100

=

764 ÷ 4
100 ÷ 4

=

191
25
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