Answered

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Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 yards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?

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Complete Question

Lisa needs 18 yards of red, gold, and green fabric to make a quilt.

She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?

Answer:

6 11/12 yards

Step-by-step explanation:

The total yards of fabric = Red + Blue + Green

18 = 6 3/4 + 4 1/3 + Green

Green = 18 - (6 3/4 + 4 1/3) yards

Lowest Common Denominator = 12

18 - (10 + ( 3/4 + 1/3) yards

18 - (10 + ( 9 + 4/12) yards

18 - ( 10 + 13/12) yards

18 - ( 10 + 1 1/12) yards

18 - 11 1/12 yards

= 6 11/12 yards

Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards

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