Converting 0.745 to a Fraction
Step-by-step explanation of how to convert 0.745 to a fraction
Result
0.745 =
149
200
Step 1: Identify the number of decimal places
The decimal 0.745 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.745 × 1000 = 745
Step 3: Write as a fraction
0.745 =
745
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 745 and 1000.
GCD(745, 1000) = 5
Divide both the numerator and denominator by the GCD:
745
1000
=
745 ÷ 5
1000 ÷ 5
=
149
200
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