contestada

10. a) Which quotients are greater than 1?

A.) 3/5 / 2/3

B.) 9/2 / 5/6

C.) 3/7 / 1/8

b) How could you have predicted the answers to part (a) without calculating the quotients?

Respuesta :

a) To determine which quotients are greater than 1 without calculating them directly, we can compare the fractions by cross-multiplying. If the numerator of the first fraction multiplied by the denominator of the second fraction is greater than the numerator of the second fraction multiplied by the denominator of the first fraction, then the quotient is greater than 1.

A.) So, A is greater than 1.

B.) So, B is greater than 1.

C.) So, C is also greater than 1.

b) By observing the patterns in the fractions, we can predict which quotients will be greater than 1. If the numerator of the first fraction is greater than the numerator of the second fraction, and the denominator of the first fraction is smaller than the denominator of the second fraction, then the quotient will likely be greater than 1. This is because the resulting fraction will have a larger numerator and a smaller denominator, making it greater than 1.