Converting 7.78152 to a Fraction
Step-by-step explanation of how to convert 7.78152 to a fraction

Result

7.78152 =
97269
12500
Mixed number:
7
9769
12500

Step 1: Identify the number of decimal places

The decimal 7.78152 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.78152 × 100000 = 778152

Step 3: Write as a fraction

7.78152 =

778152
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 778152 and 100000.

GCD(778152, 100000) = 8

Divide both the numerator and denominator by the GCD:

778152
100000

=

778152 ÷ 8
100000 ÷ 8

=

97269
12500
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