What’s the Error? A student said that the ratios 3/4 and 9/16 were proportional. What error did the student make

Solution:

A student said that the ratios 3/4 and 9/16 were proportional.

We have to find the error made by the student

We know that the two ratios a:b and c:d are said to be proportional if a/b = c/d or ad = bc

Given, a : b = 3 : 3

c : d = 9 : 16

ad = 3(16) = 48

bc = 3(9) = 27

ad ≠ bc

The given ratios do not satisfy the conditions to be proportional.

Therefore, the given ratios are not proportional.

✦ Try This: What’s the Error? A student said that the ratios 2/5 and 10/17 were proportional. What error did the student make?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 120

What’s the Error? A student said that the ratios 3/4 and 9/16 were proportional. What error did the student make

Summary:

A student said that the ratios 3/4 and 9/16 were proportional. The error made by the student is that he had multiplied the numerator by 3 and denominator by 4.

☛ Related Questions:

• What’s the Error? A clothing store charges ₹1024 for 4 T-shirts. A student says that the unit price . . . .
• A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹200 . . . .
• A piece of cloth 5 m long shrinks 10 per cent on washing. How long will the cloth be after washing