Converting 0.821875 to a Fraction
Step-by-step explanation of how to convert 0.821875 to a fraction
Result
0.821875 =
263
320
Step 1: Identify the number of decimal places
The decimal 0.821875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.821875 × 1000000 = 821875
Step 3: Write as a fraction
0.821875 =
821875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 821875 and 1000000.
GCD(821875, 1000000) = 3125
Divide both the numerator and denominator by the GCD:
821875
1000000
=
821875 ÷ 3125
1000000 ÷ 3125
=
263
320
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