What is the product of 1/6 and 4/5?
If 2/5 and 2/8 are multiplied, what will be your product?
Answer (2)
The product of 6 1 and 5 4 is 15 2 , and the product of 5 2 and 8 2 is 10 1 . Both products were obtained by multiplying the numerators and denominators. Simplification was done for both fractions.
;
To find the product of two fractions, you multiply the numerators together to get the new numerator and the denominators together to get the new denominator. Let's solve both problems step-by-step:
The product of 6 1 and 5 4 :
Product = 6 × 5 1 × 4 = 30 4 .
We can simplify 30 4 by finding the greatest common divisor (GCD) of 4 and 30, which is 2.
30 4 = 30 ÷ 2 4 ÷ 2 = 15 2 .
So the simplified product is 15 2 .
The product of 5 2 and 8 2 :
Product = 5 × 8 2 × 2 = 40 4 .
We can simplify 40 4 by finding the greatest common divisor (GCD) of 4 and 40, which is 4.
40 4 = 40 ÷ 4 4 ÷ 4 = 10 1 .
So the simplified product is 10 1 .
In both cases, we simplified the fractions by dividing the numerator and denominator by their greatest common divisor. This gives us the final, simplest form of the product.
