Example of Multiplication of Fractions

Math   /   by admin   /   July 04, 2021

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Multiplication is one of the four fundamental operations, which can also be done with fractional numbers. The fractions express values ​​that do not reach the unit (the integer: 1), and that are formed by a numerator, a denominator and a line that divides them.

In order to multiply two or more fractions, the only requirement is:

They have to be in the form of proper fraction (numerator less than denominator; does not reach the integer) or improper fraction (numerator exceeds denominator; is worth more than an integer).

How do you multiply the fractions?

The procedure to follow is multiply directly and online: numerators by numerators, denominators by denominators. The result will be written as follows: product of numerators over product of denominators. From there, it can already be simplified converted into an equivalent fraction.

Based on the example above, the multiplication can be explained as: “Take 7/8 of the amount 2/3”. If 2/3 is the “whole” we started with, multiplying it by 7/8 will make us take the 7/8 portion of 2/3. The result, 14/24, equals 7/8 of the amount 2/3.

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In fraction multiplication, the second fraction equals the part that is taken from the first fraction. To understand this better, we can take into consideration a fraction that equals a whole number, for example, 4/2, which is equal to 2. If we multiply it by 1/4, this is equivalent to taking a quarter of 4/2:

4/2 X 1/4 = 4X1/2X4 = 4/8

Reducing to common fractions:

4/8 = 2/4 = 1/2

And since our first fraction is 4/2, which is equal to 2, we realize that in effect, 1/2 is a quarter of 2.

In the case that any of the terms is a whole number, then we can make it a fraction if we put the denominator 1:

2 X 1/4 = 2/1 X 1/4 = 2X1/1X4 = 2/4 = ½

Furthermore, the operation is commutative, that is, the order of the fractions does not affect the product:

4/2 X 1/4 = 4x1/2x4 = 4/8

1/4 X 4/2 = 2x4/4x1 = 4/8

Examples of multiplication of fractions:

  1. 2/4 X 1/3 = 2X1/4X3 = 2/12
  2. 1/6 X 2/4 = 1X2/6X4 = 2/24
  3. 1/4 X 1/2 = 1X1/4X2 = 1/8
  4. 5/7 X 2/9 = 5X2/7X9 = 10/63
  5. 5/2 X 6/4 = 5X6/2X4 = 30/8
  6. 3/4 X 1/2 = 3X1/4X2 = 3/8
  7. 3/5 X 2/3 = 3X2/5X3 = 6/15
  8. 5/9 X 6/5 = 5X6/9X5 = 30/45
  9. 8/4 X 2/7 = 8X2/4X7 = 16/28
  10. 12/9 X 3/8 = 12X3/9X8 = 36/72
  11. 2/3 X 6 = 2X6/3X1 = 12/3 = 4
  12. 1/2 X 10 = 1X10/2X1 = 10/2 = 5
  13. 4/5 X 20 = 4X20/5X1 = 80/5 = 16
  14. 3/2 X 18 = 3X18/2X1 = 54/2= 27
  15. 1/6 X 24 = 1X24/6X1 = 24/6 = 4
  16. 3/9 X 2/5 = 3X2/9X5 = 6/45
  17. 6/8 X 4/6 = 6X4/8X6 = 24/48
  18. 3/4 X 2/3 = 3X2/4X3 = 6/12
  19. 4/5 X 9/12 = 4X9/5X12 = 36/60
  20. 1/6 X 13 = 1X13/6X1 = 13/6 = 21/6
  21. 4/7 X 3/5 = 4X3/7X5 = 12/35
  22. 7/8 X 2/6 = 7X2/8X6 = 14/48
  23. 3/5 X 2/3 = 3X2/5X3 = 6/15
  24. 2/5 X 3/7 = 2X3/5X7 = 6/35
  25. 1/9 X 7 = 1X7/9X1 = 7/9
  26. 7 X 1/9 = 7X1/1X9 = 7/9
  27. 3/5 X 4/7 = 3X4/5X7 = 12/35
  28. 1/16 X 8/2 = 1X8/16X2 = 8/32 = 4
  29. 4/5 X 4/10 = 4X4/5X10 = 16/50
  30. 6/8 X 4/6 = 6X4/8X6 = 24/48

Follow with:

  • Sum of fractions
  • Sum of mixed fractions
  • Sum of fractions with integers
  • Sum of fractions with different denominators
  • Subtraction of fractions
  • Division of fractions
  • Square root of fractions
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