Converting 59.8 to a Fraction
Step-by-step explanation of how to convert 59.8 to a fraction

Result

59.8 =
299
5
Mixed number:
59
4
5

Step 1: Identify the number of decimal places

The decimal 59.8 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

59.8 × 10 = 598

Step 3: Write as a fraction

59.8 =

598
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 598 and 10.

GCD(598, 10) = 2

Divide both the numerator and denominator by the GCD:

598
10

=

598 ÷ 2
10 ÷ 2

=

299
5
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