Converting 1.375 to a Fraction
Step-by-step explanation of how to convert 1.375 to a fraction
Result
1.375 =
11
8
Mixed number:
1
3
8
Step 1: Identify the number of decimal places
The decimal 1.375 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.375 × 1000 = 1375
Step 3: Write as a fraction
1.375 =
1375
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1375 and 1000.
GCD(1375, 1000) = 125
Divide both the numerator and denominator by the GCD:
1375
1000
=
1375 ÷ 125
1000 ÷ 125
=
11
8
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