Question

a clothing factory uses 1,275.2 meters of clothes a week to make shirts. how much cloth is needed to make 3 3/5 times many shirts?

Answer 1

3/5=.6
1275.2×3.6=4,590.72

Answer 2

4,590.72 m

Further explanation

Given:

A clothing factory uses 1,275.2 meters of clothes a week to make shirts.

Question:

How much cloth is needed to make 3³/₅ times many shirts?

The Process:

Let us prepare a model for the use of clothes a week to make shirts.

$\boxed{1,275.2} \rightarrow in \ meters$

Let us do multiplication on a fraction at first.

$\boxed{ \ = \frac{3}{5} \times 1,275.2 \ }$

$\boxed{ \ = 3 \times \frac{1}{5} \times 1,275.2 \ }$

$\boxed{ \ = 3 \times \frac{1,275.2}{5} \ }$

$\boxed{ \ = 3 \times 255.04 \ }$

$\boxed{\boxed{ \ 765.12 \ }}$

Then we make a model for how much cloth is needed to make 3³/₅ (three and three fifths) times many shirts. Recall that $\boxed{3\frac{3}{5} \ parts = 3 \ parts + \frac{3}{5} \ parts}$

$\boxed{1,275.2}\boxed{1,275.2}\boxed{1,275.2}\boxed{765.12}$

Finally, let us calculate how much cloth is needed to make 3³/₅ times many shirts.

$\boxed{ \ = (1,275.2 \times 3) + 765.12 \ }$

$\boxed{ \ = 3825.6 + 765.12 \ }$

$\boxed{\boxed{ \ 4,590.72 \ meters \ }}$

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Keywords: a clothing factory, uses 1,275.2 meters, clothes, a week, to make shirts, how much, cloth is needed, to make 3 3/5 times, parts, model, multiplication, fraction