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jill is making a long cape she needs 4 1/3 yards of blue fabric for the outside of the cape she needs 3 2/3 yards of purple fabric for the lining of the cape

Respuesta :

BossLife123
Hey there, just subtract 4 1/3 from 3 2/3 to get your answer. 4 1/3=13/3 and 3 2/3=11/3, 13*3-11*3/3*3=39-33/9=6/9, 6/9 simplified is 2/3

Answer:

Jill needs 8 yards of fabric to make a cape.

Step-by-step explanation:

Givens

  • Jill needs 4 1/3 yards of blue fabric for the outside of teh cape.
  • Also she needs 3 2/3 yards of purple fabric for the lining.

In order to know the total number of yards Jill needs to make a cape, we first need to transform each mixed number into fraction. We do that multiplying the whole part with the denominator and then adding it to the numerator, as follows

[tex]4\frac{1}{3}=\frac{13}{3} \\3\frac{2}{3}=\frac{11}{3}[/tex]

Then, we sum both fractions

[tex]\frac{13}{3} +\frac{11}{3}=\frac{13+11}{3}=\frac{24}{3} =8[/tex]

Therefore, Jill needs 8 yards of fabric to make a cape.