Conversion of Fractions to Decimal

To convert a fraction into a decimal, we need to find an equivalent decimal fraction. There are several methods to do this, but the most common method is to divide the numerator by the denominator using long division.

Example:
Convert 67/50 to a decimal fraction.

Solution:
1. Write the fraction as a division problem: 67 ÷ 50.
2. Perform long division:
- Divide 67 by 50: 1.34
- Write down 1 as the whole number and subtract 50 from 67 to get 17.
- Bring down the next digit (0) to get 170.
- Divide 170 by 50: 3.4
- Write down 3 as the next digit in the decimal and subtract 150 from 170 to get 20.
- Bring down the next digit (0) to get 200.
- Divide 200 by 50: 4
- Write down 4 as the next digit in the decimal and subtract 200 from 200 to get 0.
3. The quotient is 1.34 + 0.034 + 0.04 = 1.414.

Therefore, 67/50 as a decimal is 1.414.

Conclusion:
Fractions can be converted to decimal by finding an equivalent decimal fraction through long division. It is important to simplify the fraction before doing this process to make it easier and faster. This skill comes in useful in everyday life when dealing with measurements, money, and other calculations.