Converting 46.475 to a Fraction
Step-by-step explanation of how to convert 46.475 to a fraction

Result

46.475 =
1859
40
Mixed number:
46
19
40

Step 1: Identify the number of decimal places

The decimal 46.475 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

46.475 × 1000 = 46475

Step 3: Write as a fraction

46.475 =

46475
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46475 and 1000.

GCD(46475, 1000) = 25

Divide both the numerator and denominator by the GCD:

46475
1000

=

46475 ÷ 25
1000 ÷ 25

=

1859
40
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