Converting 5.415 to a Fraction
Step-by-step explanation of how to convert 5.415 to a fraction

Result

5.415 =
1083
200
Mixed number:
5
83
200

Step 1: Identify the number of decimal places

The decimal 5.415 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.415 × 1000 = 5415

Step 3: Write as a fraction

5.415 =

5415
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5415 and 1000.

GCD(5415, 1000) = 5

Divide both the numerator and denominator by the GCD:

5415
1000

=

5415 ÷ 5
1000 ÷ 5

=

1083
200
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