Multiplying Fractions Calculator
Multiplying Fractions Calculator is a free online tool that multiplies two fractions and displays their product. Two fractions can be multiplied even if the values of the denominators are not the same.
What is a Multiplying Fractions Calculator?
Multiplying Fractions Calculator helps to compute the product of the two given fractions and simplifies the resultant fraction to its lowest terms. Only proper and improper fractions can be multiplied. To use the multiplying fractions calculator, enter the values in the given input boxes.
Multiplying Fractions Calculator
NOTE: Enter values upto two digits only.
How to Use the Multiplying Fractions Calculator?
Please follow the steps given below to multiply two given fractions using the multiplying fractions calculator.
- Step 1: Go to Cuemath's online multiplying fractions calculator.
- Step 2: Enter the values in the given input boxes.
- Step 3: Click on "Multiply" to get the product of the two fractions.
- Step 4: Click on "Reset" to clear the fields and enter new values.
How Does Multiplying Fractions Calculator Work?
Multiplying fractions is simpler than adding or subtracting them. The steps to multiply fractions are as follows:
- Step 1: Check if the given fractions are either proper or improper fractions. If yes, proceed to step 3 otherwise go to step 2.
- Step 2: If any of the given fractions is a mixed fraction of the form, [ \(X\tfrac{y}{z}\)], then we have to convert it into an improper fraction. This can be done by using the formula \(X\tfrac{y}{z}\) = \(\frac{zX + y}{z}\).
- Step 3: Say our first fraction is given by A / B and the second fraction is C / D.
- Step 4: Multiply the numerators (A × C). Write the resultant value above the bar or "/" sign.
- Step 5: Multiply the denominators (B × D). Write the resultant value below the bar.
- Step 6: Simplify the resultant fraction [(A × C) / (B × D)] to the lowest terms. This will give us the product of the two fractions.
Solved Examples on Multiplying Fractions Calculator
Example 1:
Multiply 2/3 × 6/7 and verify the result using the online multiplying fractions calculator.
Solution:
Multiply the numerators: 2 × 6 = 12
Multiply the denominators: 3 × 7 = 21
The product is = 12/21 which is simplified as = 4/7
Therefore, the product of 2/3 and 6/7 is 4/7
Example 2:
Multiply 4.2/9 × 15/6.3 and verify the result using the online multiplying fractions calculator.
Solution:
Multiply the numerators: 4.2 × 15 = 63
Multiply the denominators: 9 × 6.3 = 56.7
The product is = 63/56.7 which is simplified as = 10/9
Therefore, the product of 4.2/9 and 15/6.3 is 10/9
Now, use the multiplying fractions calculator and multiply the following fractions:
- 16.2/9.9 × 7.1/8
- 33/50 × 10/ 22