Question

a piece of rope is long 10m three pieces are 9/2 and 16/5 find the other one?​

Answer 1

Answer:

2.3m ( or 23/10 m)

Step-by-step explanation:

The rope is of length 10m.

It is cut into three pieces,

Piece 1: 9/2 m long.

Piece 2: 16/5 m long.

Piece 3: ??

Clearly, these lengths should add up to give the total length of the rope, 10m

If the unknown length is x,

Method 1: As decimals

x + (9/2) + (16/5) = 10

x + 4.5 + 3.2 = 10

x + 7.7 = 10

x = 10 - 7.7 = 2.3

Method 2: As fractions

x + (9/2) + (16/5) = 10

x + 45/10 + 32/10 = 10 ...(Converting both denominators into 10)

x + 77/10 = 10

x = 10 - (77/10) = 23/10

Hence, the third piece is of length 2.3 m or fractionally, 23/10 m

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