Question

Doris solved the following problem. Show how to use multiplication to check her answer.

1
5
÷
1
77
=
1
35
5
1
​
÷
77
1
​
=
35
1
​


Choose the correct:

A.
1
35
35
1
​


B.
35
1
1
35
​


C.
1
154
154
1
​


D.
77
1
1
77
​

Answer 1

To check Doris's answer of 15 ÷ 177 = 51 ÷ 77 = 1/35, multiply the quotient by the divisor and divide the product by the dividend. If the result is equal to the original quotient, then the answer is correct.

Step-by-step explanation:

To check Doris's answer of 15 ÷ 177 = 51 ÷ 77 = 1/35:

1. Multiply the quotient (1/35) by the divisor (77).
2. Divide the product by the dividend (51).
3. If the result is equal to the original quotient (1/35), then the answer is correct.

Using this method, we have:

1. 1/35 x 77 = 77/35
2. 77/35 ÷ 51 = 77/35 ÷ 51/1 = 77/35 x 1/51 = 77/1785 ≈ 1/23.18

The original quotient is 1/35, which is not equal to 1/23.18. Therefore, Doris's answer is incorrect.