Converting 7.85 to a Fraction
Step-by-step explanation of how to convert 7.85 to a fraction
Result
7.85 =
157
20
Mixed number:
7
17
20
Step 1: Identify the number of decimal places
The decimal 7.85 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
7.85 × 100 = 785
Step 3: Write as a fraction
7.85 =
785
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 785 and 100.
GCD(785, 100) = 5
Divide both the numerator and denominator by the GCD:
785
100
=
785 ÷ 5
100 ÷ 5
=
157
20
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