Question

Noelle has 5/6 of a yard of purple ribbon and 9/10 of a yard of pink ribbon. How much ribbon does she have altogether?

A) 1 11/15 yards
B) 1 14/16
C) 2 1/5
D) 1 4/5

I TRIED TO ADD IT AND GOT IT WRONG.

Answer 1

(A)
`1(11)/(15)` yards

Explanation:

On one hand, Noelle has
`(5)/(6)` of a yard of purple ribbon

On the other hand, she has
`(9)/(10)` of a yard of purple ribbon.

The length of ribbon she has altogether is determined by the sum of the two fractions.

We add
`(5)/(6) and (9)/(10)`

`(5)/(6) + (9)/(10)`

Taking the Lowest Common Multiple of 6 and 10 =60

`(5)/(6) + (9)/(10) =((5X10)+(9X6))/(60) =((50)+(54))/(60)=(104)/(60)=1(11)/(15)`