Converting 10.74375 to a Fraction
Step-by-step explanation of how to convert 10.74375 to a fraction

Result

10.74375 =
1719
160
Mixed number:
10
119
160

Step 1: Identify the number of decimal places

The decimal 10.74375 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.74375 × 100000 = 1074375

Step 3: Write as a fraction

10.74375 =

1074375
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1074375 and 100000.

GCD(1074375, 100000) = 625

Divide both the numerator and denominator by the GCD:

1074375
100000

=

1074375 ÷ 625
100000 ÷ 625

=

1719
160
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