Question

Which of the following options represents a tion equivalent to 6/7?

a) 7/7
b) 7/1
c) 1/7
d) 7/6

Answer 1

The equivalent fraction to 6/7 is 42/49.

Step-by-step explanation:

The equivalent fraction to 6/7 is d) 7/6.

The correct option is (d) 7/6. To find an equivalent fraction to 6/7, you need to multiply both the numerator and denominator by the same nonzero number. In this case, multiplying 6/7 by 7 (numerator) and 7 (denominator) yields 42/49. Simplifying this fraction by dividing both numbers by their greatest common factor, which is 7, results in 6/7. Therefore, 7/6 is the reciprocal of 6/7, maintaining the ratio but with inverted numerators and denominators. This maintains the equivalent fraction relationship, making 7/6 equivalent to 6/7.