Multiplication and Division on Fraction


Divisions of Fractions

  • To obtain the reciprocal of a fraction, interchange the numerator with denominator.
  • To divide a whole number by a fraction, take the reciprocal of the fraction and then multiply it with the whole number. 
  • To divide a fraction by a whole number, multiply the fraction with the reciprocal of the whole number.
  • To divide a fraction by a fraction, multiply the first fraction with the reciprocal of the second fraction.
Multiplication and Division on Decimals

Multiplication of Decimals

  • To multiply a whole number by a decimal number, follow these steps: Ignore the decimal and multiply the two numbers.
  • Count the number of digits to the right of decimal point in the original decimal number. Insert the decimal, from right to left, in the answer by the same count.
  • To multiply a decimal number by a decimal number, follow these steps: Ignore the decimals and multiply the two numbers.
  • Count the number of digits to the right of decimal point in both the decimal numbers.
  • Add up the number of digits counted and insert the decimal, from right to left, in the answer by the same count.
To multiply a decimal number with 10, 100 or 1000, follow these steps:

  • While multiplying a decimal number with 10, retain the original number and shift the decimal to the right by one place. 
  • While multiplying a decimal number with 100, retain the original number and shift the decimal to the right by two places.
  • While multiplying a decimal number with 1000, retain the original number and shift the decimal to the right by three places.

Division of Decimals

  • To divide a decimal number by a whole number, follow these steps: Convert the decimal number into a fraction.
  • Take the reciprocal of the divisor. Multiply the reciprocal with the fraction.
  • To divide a decimal number by another decimal number, follow these steps: Convert both the decimal numbers into fractions.
  • Take the reciprocal of the divisor.
  • Multiply the reciprocal with the fraction.

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