Question

Rose has 1¾ yard of fabric and Lily has 2 2/3 yards of fabric. How much fabric do they have all together? Write your answer as a mixed number.

Answer 1

4 5/12

Explanation:

Rose has 1 and 3/4 yards of fabric and Lily has 2 and 2/3 yards of fabric. First I will change this mixed fraction and convert it to an improper fraction.

Rose:

`1(3)/(4)=1+(3)/(4)=(4)/(4)+(3)/(4)=(4+3)/(4) =(7)/(4)`

Lily:

`2(2)/(3)=(3*2+2)/(3) =(8)/(3)`

Now lets add up these improper fractions:

`(7)/(4) + (8)/(3) =(7*3)/(4*3)+(8*4)/(3*4)=(21+32)/(12)=(53)/(12)`

And now we ask ourselves how many times can I split up 53 into 12 pieces? Well we know that 12 x 4 = 48 and so 53 divided by 12 is 4 with a remainder of 5 (53-48=5), therefore Rose and Lily have a total of:

`4(5)/(12)` yards of fabric.