How can I explain that 1 15/16 is closest to 2 than 17/8 and 63/32

Change it into a mixed number, 1 15/16, then change it jnto a common denominator. Divide the denominator by the numerator, then whatever number is closest to two is you answer.

First change the mixed number to an improper fraction.

I need help with that too

To explain why 1 15/16 is closer to 2 than 17/8 and 63/32, we need to compare the decimal values of these fractions.

First, let's convert the fractions to decimal form:

1 15/16 = 1 + (15/16) = 1 + 0.9375 = 1.9375

17/8 = 17 ÷ 8 = 2.125

63/32 = 63 ÷ 32 = 1.96875

Now that we have the decimal values for each fraction, we can compare them to 2.

1 15/16 (1.9375) is closer to 2 than 17/8 (2.125) and 63/32 (1.96875) because 1.9375 is the decimal value that is closest to 2.

One way to explain this is by considering the distance between each decimal and 2 on a number line. The closer the number is to 2, the smaller the distance. In this case, 1.9375 is closer to 2 than 2.125 or 1.96875, as it has a smaller numerical difference from 2.

1 15/16