Converting 4.148 to a Fraction
Step-by-step explanation of how to convert 4.148 to a fraction

Result

4.148 =
1037
250
Mixed number:
4
37
250

Step 1: Identify the number of decimal places

The decimal 4.148 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.148 × 1000 = 4148

Step 3: Write as a fraction

4.148 =

4148
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4148 and 1000.

GCD(4148, 1000) = 4

Divide both the numerator and denominator by the GCD:

4148
1000

=

4148 ÷ 4
1000 ÷ 4

=

1037
250
Related Conversions
Other decimal to fraction conversions you might find useful