Converting 10.9216 to a Fraction
Step-by-step explanation of how to convert 10.9216 to a fraction

Result

10.9216 =
6826
625
Mixed number:
10
576
625

Step 1: Identify the number of decimal places

The decimal 10.9216 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9216 × 10000 = 109216

Step 3: Write as a fraction

10.9216 =

109216
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109216 and 10000.

GCD(109216, 10000) = 16

Divide both the numerator and denominator by the GCD:

109216
10000

=

109216 ÷ 16
10000 ÷ 16

=

6826
625
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