Question

A hairdresser is making 2 hair bows. She needs 9 over 10 yards for each bow. If she has 4 and 1 over 6 yards of ribbon, how much will be left over after making the bows?

thirteen over ten yards
one and one over twelve yards
two and eleven over thirty yards
2 and twenty-nine over thirty yards

1. thanhcong
The ribbon leftover will be (2 + 11/30)yd, so the correct option is the third one.

### How much will she have left after making the bows?

We know that she wants to make 2 bows, where each bow needs 9/10 yards of ribbon, so for the two bows she needs:
2*(9/10) yd = 18/10 yd.
Now, the total amount of ribbon that she has is:
T = (4 + 1/6) yd = (24/6 + 1/6) yd = (25/6) yd
To see how much she will have left, we just need to take the difference between these two fractions:
Leftover = (25/6) yd –  18/10 yd.
we can use 30 as a common denominator, then we rewrite:
Leftover =  (125/30) yd – (54/30)yd = 71/30yd
Now we can rewrite:
Leftover = 71/30 yd = 60/30 yd + 11/30 yd = (2 + 11/30)yd
The correct option is the third one.