Converting 7.624 to a Fraction
Step-by-step explanation of how to convert 7.624 to a fraction

Result

7.624 =
953
125
Mixed number:
7
78
125

Step 1: Identify the number of decimal places

The decimal 7.624 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.624 × 1000 = 7624

Step 3: Write as a fraction

7.624 =

7624
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7624 and 1000.

GCD(7624, 1000) = 8

Divide both the numerator and denominator by the GCD:

7624
1000

=

7624 ÷ 8
1000 ÷ 8

=

953
125
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