Converting 0.785 to a Fraction
Step-by-step explanation of how to convert 0.785 to a fraction

Result

0.785 =
157
200

Step 1: Identify the number of decimal places

The decimal 0.785 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.785 × 1000 = 785

Step 3: Write as a fraction

0.785 =

785
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 785 and 1000.

GCD(785, 1000) = 5

Divide both the numerator and denominator by the GCD:

785
1000

=

785 ÷ 5
1000 ÷ 5

=

157
200
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