Answer:
4 5/12
Step-by-step 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:
[tex]1\frac{3}{4}=1+\frac{3}{4}=\frac{4}{4}+\frac{3}{4}=\frac{4+3}{4} =\frac{7}{4}[/tex]
Lily:
[tex]2\frac{2}{3}=\frac{3*2+2}{3} =\frac{8}{3}[/tex]
Now lets add up these improper fractions:
[tex]\frac{7}{4} + \frac{8}{3} =\frac{7*3}{4*3}+\frac{8*4}{3*4}=\frac{21+32}{12}=\frac{53}{12} [/tex]
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:
[tex]4\frac{5}{12}[/tex] yards of fabric.
