Question

Adam drew a line that was 6 4/10 inches long. If he drew a second line that was 2 2/3

inches longer, what is the length of the second line? Answer as a mixed number.

Answer 1

The length of the second line is
`9(1)/(15)` inches

Explanation:

Given

Length of first line =
`6(4)/(10)` inches

Length of second line =
`2(2)/(3)` inches longer

Required

Length of second line.

Let the length of the second line be represented by x.

From the question, x is
`2(2)/(3)` inches longer than the first line;

This implies that:

`x = 2(2)/(3) + 6(4)/(10)`

Convert both fractions to improper fractions

`x = (8)/(3) + (64)/(10)`

Take LCM

`x = (80 + 192)/(30)`

`x = (272)/(30)`

Convert to mixed fraction

`x = 9(2)/(30)`

Reduce fraction to lowest term

`x = 9(1)/(15)`

Hence, the length of the second line is
`9(1)/(15)` inches