Converting 10.49 to a Fraction
Step-by-step explanation of how to convert 10.49 to a fraction
Result
10.49 =
1049
100
Mixed number:
10
49
100
Step 1: Identify the number of decimal places
The decimal 10.49 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.49 × 100 = 1049
Step 3: Write as a fraction
10.49 =
1049
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1049 and 100.
GCD(1049, 100) = 1
Divide both the numerator and denominator by the GCD:
1049
100
=
1049 ÷ 1
100 ÷ 1
=
1049
100
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