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Scrat [10]
3 years ago
14

Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Option 1

Jessica can make 2 scarves

yes, because the quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

<u>Solution:</u>

Given, Jessica used \frac{2}{3} yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with 1\frac{3}{4} yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}

\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}

We know that,

2 \frac{5}{8}>2 so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

So 1st option is correct

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