Converting 78.34 to a Fraction
Step-by-step explanation of how to convert 78.34 to a fraction

Result

78.34 =
3917
50
Mixed number:
78
17
50

Step 1: Identify the number of decimal places

The decimal 78.34 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

78.34 × 100 = 7834

Step 3: Write as a fraction

78.34 =

7834
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7834 and 100.

GCD(7834, 100) = 2

Divide both the numerator and denominator by the GCD:

7834
100

=

7834 ÷ 2
100 ÷ 2

=

3917
50
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