Tick the fractions less than five-eighths. A half, two-eighths, three-quarters, seven sixteenths, and twenty-four thirty-seconds.
You may have noticed that each of these fractions has a different denominator. So we need to think about how many eighths each of these fractions is worth. This fraction two-eighths is the only one which has eighths as a denominator. Two-eighths is less than five-eighths. So we should tick this fraction because we’re looking for all the fractions which are less than five-eighths.
We could also quickly work out that a half is equal to four-eighths. Four is half of eight. Four-eighths are also less than five-eighths. So we should tick this fraction. How many eighths are equal to three-quarters? To change the denominator from four to eight, we need to multiply it by two. So we need to multiply the numerator by two as well. Three times two is six. Six-eighths are greater than five-eighths. So we don’t need to tick this fraction.
This fraction is tricky. We could halve 16 to give us eight. But we can’t halve seven. Instead, we could work out how many sixteenths are equal to five-eighths. To change the denominator from eighths to sixteenths, we had to multiply the eight by two. So we need to do the same to the numerator. Five-eighths is equal to ten sixteenths. Seven sixteenths are less than ten sixteenths. So we can tick this box.
Finally, we need to work out how many eighths are equal to 24 over 32. To get from 32 to eight, we need to divide by four. We do the same to the numerator. 24 divided by four is six. Six-eighths are greater than five-eighths. So we don’t need to tick this fraction either.
The fractions which are less than five-eighths are a half, two-eighths, and seven sixteenths.