How would I solve these two problems. (We have to simplify our answer)
5/7 divided by 8/21
12/7 divided by 9/21
I will do the first, you do the second
5/7 divided by 8/21
= (5/7)÷(8/21)
= (5/7)(21/8)
= 15/8 , (the 7 cancelled into the 21)
I'd like to learn this. How did you get 15/8. Did you multiply 5 by 3 to get that?
yes, to multiply fractions, you multiply the numerators, and you multiply the denominators.
e.g.
2/3 x 5/7 = 10/21
in your question of
(5/7)(21/8)
I had 105/56
= 15/8 after dividing top and bottom by 7
that's cool. Thanks
To solve these division problems and simplify the answers, you need to follow these steps:
Problem 1: 5/7 divided by 8/21
Step 1: Invert the divisor.
To divide fractions, you need to invert the second fraction (divisor). So, the problem becomes 5/7 multiplied by 21/8.
Step 2: Simplify the fractions.
Simplify both fractions before multiplying.
5/7 cannot be simplified further.
21/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3. So, 21/8 simplifies to 7/8.
Step 3: Multiply the fractions.
Multiply the numerators together and the denominators together.
5/7 * 7/8 = (5 * 7) / (7 * 8) = 35/56.
Step 4: Simplify the product.
Simplify the final product by dividing the numerator and denominator by their GCD, which is 7.
35/56 simplifies to 5/8.
Therefore, the simplified answer to 5/7 divided by 8/21 is 5/8.
Problem 2: 12/7 divided by 9/21
Step 1: Invert the divisor.
Invert the second fraction (divisor). The problem becomes 12/7 multiplied by 21/9.
Step 2: Simplify the fractions.
Simplify both fractions before multiplying.
12/7 can be simplified by dividing both the numerator and denominator by their GCD, which is 1. So, 12/7 remains the same.
21/9 can be simplified by dividing both the numerator and denominator by their GCD, which is 3. So, 21/9 simplifies to 7/3.
Step 3: Multiply the fractions.
Multiply the numerators together and the denominators together.
12/7 * 7/3 = (12 * 7) / (7 * 3) = 84/21.
Step 4: Simplify the product.
Simplify the final product by dividing the numerator and denominator by their GCD, which is 21.
84/21 simplifies to 4/1 or simply 4.
Therefore, the simplified answer to 12/7 divided by 9/21 is 4.