Converting 49.375 to a Fraction
Step-by-step explanation of how to convert 49.375 to a fraction

Result

49.375 =
395
8
Mixed number:
49
3
8

Step 1: Identify the number of decimal places

The decimal 49.375 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.375 × 1000 = 49375

Step 3: Write as a fraction

49.375 =

49375
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49375 and 1000.

GCD(49375, 1000) = 125

Divide both the numerator and denominator by the GCD:

49375
1000

=

49375 ÷ 125
1000 ÷ 125

=

395
8
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