Get the solution to "Sara has 434 yards of red fleece and..."

Ella Bradshaw

Answered question

2022-01-21

Sara has

4 \frac{3}{4}

yards of red fleece and

2 \frac{2}{3}

yards of blue fleece fabric. How many yards of red and blue fleece fabric does she have altogether?

sjkuzy5

Beginner2022-01-22Added 11 answers

We can add the amounts:

4 \frac{3}{4} + 2 \frac{2}{3}

4 + \frac{3}{4} + 2 + \frac{2}{3}

6 + \frac{3}{4} + \frac{2}{3}

At this point, I need to find a common denominator (which is 12):

6 + \frac{3}{4} (1) + \frac{2}{3} (1)

6 + \frac{3}{4} (\frac{3}{3}) + \frac{2}{3} (\frac{4}{4})

6 + \frac{9}{12} + \frac{8}{12}

6 + \frac{17}{12}

6 + \frac{12}{12} + \frac{5}{12}

6 + 1 + \frac{5}{12}

7 \frac{5}{12}

yrds

fumanchuecf

Beginner2022-01-23Added 21 answers

4 \frac{3}{4} + 2 \frac{2}{3}

Multiply 4 and 4 to get 16.

\frac{16 + 3}{4} + \frac{2 \times 3 + 2}{3}

Add 16 and 3 to get 19.

\frac{19}{4} + \frac{2 \times 3 + 2}{3}

Multiply 2 and 3 to get 6.

\frac{19}{4} + \frac{6 + 2}{3}

Add 6 and 2 to get 8.

\frac{19}{4} + \frac{8}{3}

Least common multiple of 4 and 3 is 12. Convert

\frac{19}{4} and \frac{8}{4}

to fractions with denominator 12.

\frac{57}{12} + \frac{32}{12}

Since

\frac{57}{12} and \frac{32}{12}

have the same denominator, add them by adding their numerators.

\frac{57 + 32}{12}

Add 57 and 32 to get 89.

\frac{89}{12}

RizerMix

Expert2022-01-27Added 656 answers

4 \frac{3}{4} + 2 \frac{2}{3}

= \frac{19}{4} + 2 \frac{2}{3}

= \frac{19}{4} + \frac{8}{3}

= \frac{89}{12}

= 7 \frac{5}{12}

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