Converting 0.721875 to a Fraction
Step-by-step explanation of how to convert 0.721875 to a fraction

Result

0.721875 =
231
320

Step 1: Identify the number of decimal places

The decimal 0.721875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.721875 × 1000000 = 721875

Step 3: Write as a fraction

0.721875 =

721875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 721875 and 1000000.

GCD(721875, 1000000) = 3125

Divide both the numerator and denominator by the GCD:

721875
1000000

=

721875 ÷ 3125
1000000 ÷ 3125

=

231
320
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