Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds of trail mix did he eat during both breaks?

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Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds of trail mix did he eat during both breaks?

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Answer 1 · 2017-08-08T02:17:14

See a solution process below:

Explanation:

We can write that on his two breaks Bill at:

$(\frac{1}{4} + \frac{1}{6}) lb$ $(1/4 + 1/6)"lb"$ of trail mix.

We now need to put the two fractions over a common denominator in order to add the fractions. The LCD for these two fractions is $12$ $12$ . We need to multiply each fraction by the appropriate form of $1$ $1$ to ensure each fraction has a denominator of $12$ $12$ :

$([\frac{3}{3} \times \frac{1}{4}] + [\frac{2}{2} \times \frac{1}{6}]) lb \Rightarrow$ $([3/3 xx 1/4] + [2/2 xx 1/6])"lb" =>$

$([\frac{3 \times 1}{3 \times 4}] + [\frac{2 \times 1}{2 \times 6}]) lb \Rightarrow$ $([(3 xx 1)/(3 xx 4)] + [(2 xx 1)/(2 xx 6)])"lb" =>$

$(\frac{3}{12} + \frac{2}{12}) lb \Rightarrow$ $(3/12 + 2/12)"lb" =>$

$\frac{3 + 2}{12} lb \Rightarrow$ $(3 + 2)/12"lb" =>$

$\frac{5}{12} lb$ $5/12"lb"$

Bill ate $\frac{5}{15} lb$ $5/15"lb"$ of trail mix on the two breaks.

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Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds of trail mix did he eat during both breaks?

1 Answer

Explanation:

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