Converting 10.70784 to a Fraction
Step-by-step explanation of how to convert 10.70784 to a fraction

Result

10.70784 =
33462
3125
Mixed number:
10
2212
3125

Step 1: Identify the number of decimal places

The decimal 10.70784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.70784 × 100000 = 1070784

Step 3: Write as a fraction

10.70784 =

1070784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1070784 and 100000.

GCD(1070784, 100000) = 32

Divide both the numerator and denominator by the GCD:

1070784
100000

=

1070784 ÷ 32
100000 ÷ 32

=

33462
3125
Related Conversions
Other decimal to fraction conversions you might find useful