Converting 10.3776 to a Fraction
Step-by-step explanation of how to convert 10.3776 to a fraction
Result
10.3776 =
6486
625
Mixed number:
10
236
625
Step 1: Identify the number of decimal places
The decimal 10.3776 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.3776 × 10000 = 103776
Step 3: Write as a fraction
10.3776 =
103776
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 103776 and 10000.
GCD(103776, 10000) = 16
Divide both the numerator and denominator by the GCD:
103776
10000
=
103776 ÷ 16
10000 ÷ 16
=
6486
625
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