Converting 0.7825 to a Fraction
Step-by-step explanation of how to convert 0.7825 to a fraction

Result

0.7825 =
313
400

Step 1: Identify the number of decimal places

The decimal 0.7825 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7825 × 10000 = 7825

Step 3: Write as a fraction

0.7825 =

7825
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7825 and 10000.

GCD(7825, 10000) = 25

Divide both the numerator and denominator by the GCD:

7825
10000

=

7825 ÷ 25
10000 ÷ 25

=

313
400
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