$(\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}$

4 0

3 years ago

A recipe calls for 1.5 cups of raisins for 18 cookies how many cups of raisins must be used for making 30 cookies. please break

Zanzabum

Lets list what we know:

1.5 cups = 18 cookies

How many cups in 1 cookie will help us find the answer:

1.5 / 18 (1.5 cups per 18 cookies)

divide both sides by 1.5 (to get how many cookies in 1 cup)

1 / 12 (1 cup = 12 cookies)

Now, how many times does 12 fit in 30?

30/12 = 2.5

This means it takes 2 and a half cups of raisins to get 30 cookies.

If anything is still unclear please comment,

Hope this was helpful

Have a great day!

6 0

3 years ago