Converting 3.4375 to a Fraction
Step-by-step explanation of how to convert 3.4375 to a fraction
Result
3.4375 =
55
16
Mixed number:
3
7
16
Step 1: Identify the number of decimal places
The decimal 3.4375 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.4375 × 10000 = 34375
Step 3: Write as a fraction
3.4375 =
34375
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 34375 and 10000.
GCD(34375, 10000) = 625
Divide both the numerator and denominator by the GCD:
34375
10000
=
34375 ÷ 625
10000 ÷ 625
=
55
16
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