Converting 0.6875 to a Fraction
Step-by-step explanation of how to convert 0.6875 to a fraction

Result

0.6875 =
11
16

Step 1: Identify the number of decimal places

The decimal 0.6875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.6875 × 10000 = 6875

Step 3: Write as a fraction

0.6875 =

6875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6875 and 10000.

GCD(6875, 10000) = 625

Divide both the numerator and denominator by the GCD:

6875
10000

=

6875 ÷ 625
10000 ÷ 625

=

11
16
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