Converting 7.9125 to a Fraction
Step-by-step explanation of how to convert 7.9125 to a fraction

Result

7.9125 =
633
80
Mixed number:
7
73
80

Step 1: Identify the number of decimal places

The decimal 7.9125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.9125 × 10000 = 79125

Step 3: Write as a fraction

7.9125 =

79125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 79125 and 10000.

GCD(79125, 10000) = 125

Divide both the numerator and denominator by the GCD:

79125
10000

=

79125 ÷ 125
10000 ÷ 125

=

633
80
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