4,590.72 m
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.
[tex]\boxed{1,275.2} \rightarrow in \ meters[/tex]
Let us do multiplication on a fraction at first.
[tex]\boxed{ \ = \frac{3}{5} \times 1,275.2 \ }[/tex]
[tex]\boxed{ \ = 3 \times \frac{1}{5} \times 1,275.2 \ }[/tex]
[tex]\boxed{ \ = 3 \times \frac{1,275.2}{5} \ }[/tex]
[tex]\boxed{ \ = 3 \times 255.04 \ }[/tex]
[tex]\boxed{\boxed{ \ 765.12 \ }}[/tex]
Then we make a model for how much cloth is needed to make 3³/₅ (three and three fifths) times many shirts. Recall that [tex]\boxed{3\frac{3}{5} \ parts = 3 \ parts + \frac{3}{5} \ parts}[/tex]
[tex]\boxed{1,275.2}\boxed{1,275.2}\boxed{1,275.2}\boxed{765.12}[/tex]
Finally, let us calculate how much cloth is needed to make 3³/₅ times many shirts.
[tex]\boxed{ \ = (1,275.2 \times 3) + 765.12 \ }[/tex]
[tex]\boxed{ \ = 3825.6 + 765.12 \ }[/tex]
[tex]\boxed{\boxed{ \ 4,590.72 \ meters \ }}[/tex]
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
