Question

A dressmaker cut a piece of ribbon One-fourth of an inch long from a piece Seven-sixteenths of an inch long. What is the length of the remaining piece of ribbon?

Three-sixteenths of an inch
Six-twelfths of an inch
Eight-twelfths of an inch
StartFraction 11 over 16 EndFraction of an inch

Answer 1

Option A is the answer

Explanation:

From the question, you were told that a dressmaker has a piece of ribbon that has a total length of Seven-sixteenths.

She cut One-fourth of an inch long from the total pieces of the ribbon.

Given:

• The total pieces of ribbon= seven sixteens inch

• Piece of ribbon cut = One-fourth inch

To find:- Length of raining piece of ribbon = x

Note that the total length of piece of ribbon = remaining length + length of piece cut.

one - fourth = 1/4

seven - sixteenths = 7 × 1/16

→ 7/16

The next thing to find the length of remaining piece of ribbon.

`(7)/(16) = x + (1)/(4)`

Isolate x by subtracting 1/4 from both sides:

`= > (7)/(16) - (1)/(4) = x + (1)/(4) - (1)/(4)`

→ 7/16 - 1/4 = x

→ LCM = 16

→ [(7-(4×1)] / 16 = x

After evaluating, we get:-

x= 3/16 inch

So, the length of remaining piece of ribbon is Three-sixteenths of an inch