Converting 7.85896 to a Fraction
Step-by-step explanation of how to convert 7.85896 to a fraction

Result

7.85896 =
98237
12500
Mixed number:
7
10737
12500

Step 1: Identify the number of decimal places

The decimal 7.85896 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.85896 × 100000 = 785896

Step 3: Write as a fraction

7.85896 =

785896
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 785896 and 100000.

GCD(785896, 100000) = 8

Divide both the numerator and denominator by the GCD:

785896
100000

=

785896 ÷ 8
100000 ÷ 8

=

98237
12500
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