Converting 5.475 to a Fraction
Step-by-step explanation of how to convert 5.475 to a fraction

Result

5.475 =
219
40
Mixed number:
5
19
40

Step 1: Identify the number of decimal places

The decimal 5.475 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.475 × 1000 = 5475

Step 3: Write as a fraction

5.475 =

5475
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5475 and 1000.

GCD(5475, 1000) = 25

Divide both the numerator and denominator by the GCD:

5475
1000

=

5475 ÷ 25
1000 ÷ 25

=

219
40
Related Conversions
Other decimal to fraction conversions you might find useful