Converting 1.5775 to a Fraction
Step-by-step explanation of how to convert 1.5775 to a fraction
Result
1.5775 =
631
400
Mixed number:
1
231
400
Step 1: Identify the number of decimal places
The decimal 1.5775 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.5775 × 10000 = 15775
Step 3: Write as a fraction
1.5775 =
15775
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15775 and 10000.
GCD(15775, 10000) = 25
Divide both the numerator and denominator by the GCD:
15775
10000
=
15775 ÷ 25
10000 ÷ 25
=
631
400
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