Step-by-step explanation:
Here are the steps for multiplication of fractions:
Multiply the numerators together and place the product on the top of the resultant fraction
Multiply the denominators together and write the result at the bottom of the new fraction
Reduce or simplify the result if possible
Example 1:
1/2 × 2/5
Step 1. Multiply the numerators:
1/2 × 2/5 = 1 × 2 = 2
Step 2. Multiply the denominators:
2 x 5 = 10
Step 3. Simplify the fraction:
2/10 = 1/5
Example 2:
1/3 × 9/16
Step 1. Multiply the numerators:
1/3 × 9/16 = 1 × 9 = 9
Step 2. Multiply the denominators:
3 × 16 = 48
Step 3. Simplify the fraction:
9/48 = 3/16
Example 3:
Multiply: 4/5 x 7/6
First multiply the numerators to get: 4 × 7 = 28.
Then multiply the denominators to get: 5 × 9 = 45.
The result= 28/45
Since there are no common factors of 28 and 45, therefore this fraction is already in its lowest terms. The final answer is 28/45.
Example 4:
Multiply: 9/4 x 14/15
You can tackle all the operations in a single line of mathematics. Remember to place the numerator remain on top, and the denominators remain on bottom throughout.
9/4 x 14/15 = (9 x 14)/(4 x 15) = 126/60
- When multiplying fractions, you can often make your job easier by canceling out equal factors in the numerator and denominator. Canceling out equal factors makes the numbers that you’re multiplying smaller and easier to work with, and it also saves you the trouble of reducing at the end
