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

Answer 1

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.

If you want to learn more about fractions:

brainly.com/question/11562149

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