Question

A roll of ribbon was 8m long. Priya cut 10 pieces, each of length 2/5 meters, to tie some presents. She then cuts the remaining ribbons into some pieces, each of length 3/4 meters.

How many pieces of ribbons, each 3/4 meters in length, Did Priya have at most?
What as the length of the ribbon left?

Answer 1

Explanation:

10 pieces, each 2/5 m long are

10 × 2/5 = 20/5 = 4 m

that leaves 8 - 4 = 4 m of ribbon.

now, from these 4 m, pieces of 3/4 m are cut.

how many ?

as many as times 3/4 fit into 4 :

4 / 3/4 = 4/1 / 3/4 = 4×4 / (1×3) = 16/3 = 5 1/3.

that means, she got max. 5 pieces of 3/4 m. and she has 1/3 m ribbon left.