Sarah bought a 55-yard bolt of ribbon. lf she wants to cut pieces that are 1 1/3-yard long, what is the maximum number of ribbons she can cut from the bolt?

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Answer 1 · 2018-07-24T01:19:07

41

Divide 55 by 1 1/3

$\frac{\frac{55}{1}}{\frac{4}{3}}$ $( 55/1)/ (4/3)$

multiply both the top and bottom by 3/4 to simplify

$\frac{(\frac{55}{1}) \times \frac{3}{4}}{\frac{4}{3} \times \frac{3}{4}}$ ${( 55/1) xx 3/4 }/ { 4/3 xx 3/4}$

This gives

$55 \times \frac{3}{4} = \frac{165}{4}$ $55 xx 3/4 = 165/ 4$

$\frac{165}{4} = 41 \frac{1}{4}$ $165/4 = 41 1/4$

The greatest number of pieces is 41