Erica

Erica bought 3 1/2 yards of fabric. If she uses 2/3 of the fabric, how much will she have left?

Correct result:

x =  1.167 yd

Solution:

a=3+1/2=72=3.5 yd u=23 a=23 3.5732.3333 yd x=au=3.52.3333=76=1.167 yda=3 + 1/2=\dfrac{ 7 }{ 2 }=3.5 \ \text{yd} \ \\ u=\dfrac{ 2 }{ 3 } \cdot \ a=\dfrac{ 2 }{ 3 } \cdot \ 3.5 \doteq \dfrac{ 7 }{ 3 } \doteq 2.3333 \ \text{yd} \ \\ x=a - u=3.5 - 2.3333=\dfrac{ 7 }{ 6 }=1.167 \ \text{yd}



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