Converting 2.1375 to a Fraction
Step-by-step explanation of how to convert 2.1375 to a fraction
Result
2.1375 =
171
80
Mixed number:
2
11
80
Step 1: Identify the number of decimal places
The decimal 2.1375 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1375 × 10000 = 21375
Step 3: Write as a fraction
2.1375 =
21375
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21375 and 10000.
GCD(21375, 10000) = 125
Divide both the numerator and denominator by the GCD:
21375
10000
=
21375 ÷ 125
10000 ÷ 125
=
171
80
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