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bulgar [2K]
3 years ago
10

4 1/2 yards of cloth are needed to make a woman’s dress. 2 2/7 yards of cloth are needed to make a girl’s dress. How much more c

loth is needed to make a woman’s dress than a girl’s dress?
Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0

Answer:

2\frac{3}{14} yards

Step-by-step explanation:

We have been given that 4 1/2 yards of cloth are needed to make a woman’s dress. 2 2/7 yards of cloth are needed to make a girl’s dress.

To find the yards of more cloth needed to make a woman’s dress than a girl’s dress, we will subtract cloth needed for girl's dress from the cloth needed for woman's dress.

4\frac{1}{2}-2\frac{2}{7}

Convert mixed fraction into improper fraction:

4\frac{1}{2}\Rightarrow \frac{4\times 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}

2\frac{2}{7}\Rightarrow \frac{2\times 7+2}{7}=\frac{14+2}{7}=\frac{16}{7}

4\frac{1}{2}-2\frac{2}{7}=\frac{9}{2}-\frac{16}{7}

Make a common denominator:

\frac{9*7}{2*7}-\frac{16*2}{7*2}

\frac{63}{14}-\frac{32}{14}

\frac{63-32}{14}

\frac{31}{14}

2\frac{3}{14}

Therefore, 2\frac{3}{14} yards more cloth is needed to make a woman’s dress than a girl’s dress.

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