Converting 1.775 to a Fraction
Step-by-step explanation of how to convert 1.775 to a fraction
Result
1.775 =
71
40
Mixed number:
1
31
40
Step 1: Identify the number of decimal places
The decimal 1.775 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.775 × 1000 = 1775
Step 3: Write as a fraction
1.775 =
1775
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1775 and 1000.
GCD(1775, 1000) = 25
Divide both the numerator and denominator by the GCD:
1775
1000
=
1775 ÷ 25
1000 ÷ 25
=
71
40
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