Converting 0.261875 to a Fraction
Step-by-step explanation of how to convert 0.261875 to a fraction

Result

0.261875 =
419
1600

Step 1: Identify the number of decimal places

The decimal 0.261875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.261875 × 1000000 = 261875

Step 3: Write as a fraction

0.261875 =

261875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 261875 and 1000000.

GCD(261875, 1000000) = 625

Divide both the numerator and denominator by the GCD:

261875
1000000

=

261875 ÷ 625
1000000 ÷ 625

=

419
1600
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