Converting 10.40978 to a Fraction
Step-by-step explanation of how to convert 10.40978 to a fraction

Result

10.40978 =
520489
50000
Mixed number:
10
20489
50000

Step 1: Identify the number of decimal places

The decimal 10.40978 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.40978 × 100000 = 1040978

Step 3: Write as a fraction

10.40978 =

1040978
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1040978 and 100000.

GCD(1040978, 100000) = 2

Divide both the numerator and denominator by the GCD:

1040978
100000

=

1040978 ÷ 2
100000 ÷ 2

=

520489
50000
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