Question

%5Cfrac%7B1%7D%7B4%7D%20%20-%207%20%5Cfrac%7B1%7D%7B3%7D%20%20%3D%20%20%5C%5C%208%20%5Cfrac%7B2%7D%7B3%7D%20-%206%20%5Cfrac%7B3%7D%7B10%7D%20%3D%20%20%5C%5C%20please%20%5C%3A%20show%20%5C%3A%20work.%20%5C%3A%20tyia" id="TexFormula1" title="9 \frac{9}{10} + 2 \frac{1}{4} = \\ 6 \frac{1}{4} - 7 \frac{1}{3} = \\ 8 \frac{2}{3} - 6 \frac{3}{10} = \\ please \: show \: work. \: tyia" alt="9 \frac{9}{10} + 2 \frac{1}{4} = \\ 6 \frac{1}{4} - 7 \frac{1}{3} = \\ 8 \frac{2}{3} - 6 \frac{3}{10} = \\ please \: show \: work. \: tyia" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

1. $445\frac{1}{2}$

2. $-1\frac{1}{12}$

3. $2\frac{11}{30}$

Step-by-step explanation:

1. $9\frac{9}{10} +2\frac{1}{4}$

I like to make it an improper fraction first.

$\frac{99}{10}+\frac{9}{4}$

Now take the LCM. The LCM is 20.

$\frac{198}{20} +\frac{45}{20}$

Now add them.

$\frac{8910}{20}$

Make this into a mixed number.

$445\frac{1}{2}$

That's your answer for number 1.

2. $6\frac{1}{4} -7\frac{1}{3}$

Do the same thing as the previous addition problem but subtract instead.

$\frac{25}{4} -\frac{22}{3}$

$\frac{75}{12} -\frac{88}{12}$

$-\frac{13}{12}=-1\frac{1}{12}$

$-1\frac{1}{12}$ is your answer for number 2.

3. $8\frac{2}{3}-6\frac{3}{10}$

$\frac{26}{3} -\frac{63}{10}$

$\frac{260}{30}-\frac{189}{30}$

$\frac{71}{30}=2\frac{11}{30}$

$2\frac{11}{30}$ is your answer for number 3.

I hope this helps! Let me know if you need help or if I got anything wrong :)