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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