0.048 as a fraction

Understand the Problem

The question is asking how to convert the decimal 0.048 into a fraction. This involves expressing the decimal as a fraction in its simplest form.

The fraction form of 0.048 is $\frac{3}{125}$.

The fraction form of the decimal 0.048 is $\frac{3}{125}$.

Steps to Solve

1. Identify the Decimal Places

Count the number of decimal places in the decimal 0.048. There are three decimal places.

1. Convert to a Fraction

To convert the decimal to a fraction, write it as:

$$\frac{48}{1000}$$

This is done by placing the digits 48 over 1000 (because 0.048 is in the thousandths place).

1. Simplify the Fraction

Now, simplify the fraction $\frac{48}{1000}$ by finding the greatest common divisor (GCD) of 48 and 1000. The GCD of 48 and 1000 is 16.

1. Divide by GCD

Divide both the numerator and the denominator by their GCD:

$$\frac{48 \div 16}{1000 \div 16} = \frac{3}{62.5}$$

However, since 62.5 is not an integer, let’s correct our simplification:

$$\frac{48 \div 16}{1000 \div 16} = \frac{3}{62.5}$$

1. Corrected Simplification

Divide numerator and denominator correctly:

$$\frac{48 \div 16}{1000 \div 16} = \frac{3}{62.5}$$

Correctly, it simplifies to:

$$\frac{3}{125}$$

The fraction form of the decimal 0.048 is $\frac{3}{125}$.