How to Convert Improper Fractions to Decimals Using Long Division

The final step is to check if the remainder is zero; if so, the quotient is the decimal equivalent of the fraction. If not, the decimal may be non-terminating or require rounding.

The process involves dividing the numerator by the denominator using long division.

The number being divided is called the dividend.

The number by which we divide is called the divisor.

You add a decimal point when the divisor does not go into the current remainder.

When the remainder becomes zero, the division is complete and the quotient is the decimal equivalent of the improper fraction.

When the remainder is less than the divisor, you add a decimal point and bring down a zero to continue the division.

The decimal equivalent of 6/5 is 1.2.

The decimal equivalent of 7/4 is 1.75.

The decimal equivalent of 21/8 is 2.625.

You determine this by looking at the multiples of the divisor and finding the highest multiple that is less than the dividend.

If the divisor goes into the dividend multiple times, you continue the division process until you reach a remainder of zero or you have the desired level of precision.

Adding zeros and continuing the division process allows us to find the decimal representation of the fraction, which may not be a whole number.

Lining up the decimal points ensures that the decimal places in the quotient are correct and in the right position.

If the remainder is not zero after the division process, the decimal is non-terminating and may require rounding or approximation.

A terminating decimal is a decimal that has a finite number of digits and does not continue indefinitely.

A terminating decimal ends, while a non-terminating decimal continues indefinitely without a repeating pattern.

To convert an improper fraction to a decimal using long division, you divide the numerator by the denominator and follow the steps of long division until you have the quotient or a remainder that does not allow further division without approximation.

The final step is to check if the remainder is zero; if so, the quotient is the decimal equivalent of the fraction. If not, the decimal may be non-terminating or require rounding.

The process involves dividing the numerator by the denominator using long division.