Converting 10.45 to a Fraction
Step-by-step explanation of how to convert 10.45 to a fraction
Result
10.45 =
209
20
Mixed number:
10
9
20
Step 1: Identify the number of decimal places
The decimal 10.45 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.45 × 100 = 1045
Step 3: Write as a fraction
10.45 =
1045
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1045 and 100.
GCD(1045, 100) = 5
Divide both the numerator and denominator by the GCD:
1045
100
=
1045 ÷ 5
100 ÷ 5
=
209
20
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