Converting 49.78016 to a Fraction
Step-by-step explanation of how to convert 49.78016 to a fraction

Result

49.78016 =
155563
3125
Mixed number:
49
2438
3125

Step 1: Identify the number of decimal places

The decimal 49.78016 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

49.78016 × 100000 = 4978016

Step 3: Write as a fraction

49.78016 =

4978016
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4978016 and 100000.

GCD(4978016, 100000) = 32

Divide both the numerator and denominator by the GCD:

4978016
100000

=

4978016 ÷ 32
100000 ÷ 32

=

155563
3125
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