Converting 30.76 to a Fraction
Step-by-step explanation of how to convert 30.76 to a fraction

Result

30.76 =
769
25
Mixed number:
30
19
25

Step 1: Identify the number of decimal places

The decimal 30.76 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

30.76 × 100 = 3076

Step 3: Write as a fraction

30.76 =

3076
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3076 and 100.

GCD(3076, 100) = 4

Divide both the numerator and denominator by the GCD:

3076
100

=

3076 ÷ 4
100 ÷ 4

=

769
25
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