Converting 89.5 to a Fraction
Step-by-step explanation of how to convert 89.5 to a fraction

Result

89.5 =
179
2
Mixed number:
89
1
2

Step 1: Identify the number of decimal places

The decimal 89.5 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

89.5 × 10 = 895

Step 3: Write as a fraction

89.5 =

895
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 895 and 10.

GCD(895, 10) = 5

Divide both the numerator and denominator by the GCD:

895
10

=

895 ÷ 5
10 ÷ 5

=

179
2
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