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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