Converting 10.7084 to a Fraction
Step-by-step explanation of how to convert 10.7084 to a fraction

Result

10.7084 =
26771
2500
Mixed number:
10
1771
2500

Step 1: Identify the number of decimal places

The decimal 10.7084 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.7084 × 10000 = 107084

Step 3: Write as a fraction

10.7084 =

107084
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 107084 and 10000.

GCD(107084, 10000) = 4

Divide both the numerator and denominator by the GCD:

107084
10000

=

107084 ÷ 4
10000 ÷ 4

=

26771
2500
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