Converting 0.705 to a Fraction
Step-by-step explanation of how to convert 0.705 to a fraction
Result
0.705 =
141
200
Step 1: Identify the number of decimal places
The decimal 0.705 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.705 × 1000 = 705
Step 3: Write as a fraction
0.705 =
705
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 705 and 1000.
GCD(705, 1000) = 5
Divide both the numerator and denominator by the GCD:
705
1000
=
705 ÷ 5
1000 ÷ 5
=
141
200
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