Perform the indicated operations. Write your answers in simplest forms. 1. 36 5 + (− 33 10 ) 2. 3 1 2 + 4 4 5 3. 5 1 4 + 2 4 5 4. 12 5 − 16 15 5. 3 2 − 5 2 − (− 1 2 ) 6. 4 2 7 − 3 1 2 7. 9 10 (− 4 5 ) 8. 3 6 7 2 2 5 9. − 19 5 ÷ 13 10 10. 4 2 5 ÷ 1 3 10
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Answer:
1.) 5/7
1.) \frac{3}{7} + \frac{2}{7} = \frac{5}{7} 1.)
7
3
+
7
2
=
7
5
2.) 9/13
2.) \frac{4}{13} + \frac{5}{13} = \frac{9}{13} 2.)
13
4
+
13
5
=
13
9
3.) 11/12
\begin{gathered}3.) \frac{7}{12} \times \frac{1}{1} = \frac{7}{12} \\ \frac{1}{3} \times \frac{4}{4} = \frac{4}{12} \\ \frac{7}{12} + \frac{4}{12} = \frac{11}{12} \end{gathered}
3.)
12
7
×
1
1
=
12
7
3
1
×
4
4
=
12
4
12
7
+
12
4
=
12
11
4.) 1 3/20
\begin{gathered}4.) \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \\ \frac{2}{5} \times \frac{4}{4} = \frac{8}{20} \\ \frac{15}{20} + \frac{8}{20} = \frac{23}{20} or \: 1 \frac{3}{20} \end{gathered}
4.)
4
3
×
5
5
=
20
15
5
2
×
4
4
=
20
8
20
15
+
20
8
=
20
23
or1
20
3
5.) 1
\begin{gathered}5.) \frac{2}{10} \times \frac{1}{1} = \frac{2}{10} \\ \frac{4}{5} \times \frac{2}{2} = \frac{8}{10} \\ \frac{2}{10} + \frac{8}{10} = \frac{10}{10} \div \frac{10}{10} = 1\end{gathered}
5.)
10
2
×
1
1
=
10
2
5
4
×
2
2
=
10
8
10
2
+
10
8
=
10
10
÷
10
10
=1
6.) 1/8
6.) \frac{5}{8} - \frac{4}{8} = \frac{1}{8} 6.)
8
5
−
8
4
=
8
1
7.) 1/5
7.) \frac{13}{20} - \frac{9}{20} = \frac{4}{20} \div \frac{4}{4} = \frac{1}{5} 7.)
20
13
−
20
9
=
20
4
÷
4
4
=
5
1
8.) 7/20
\begin{gathered}8.) \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \\ \frac{2}{5} \times \frac{4}{4} = \frac{8}{20} \\ \frac{15}{20} - \frac{8}{20} = \frac{7}{20} \end{gathered}
8.)
4
3
×
5
5
=
20
15
5
2
×
4
4
=
20
8
20
15
−
20
8
=
20
7
9.) 8/21
\begin{gathered}9.) \frac{2}{3} \times \frac{7}{7} = \frac{14}{21} \\ \frac{2}{7} \times \frac{3}{3} = \frac{6}{21} \\ \frac{14}{20} - \frac{6}{21} = \frac{8}{21} \end{gathered}
9.)
3
2
×
7
7
=
21
14
7
2
×
3
3
=
21
6
20
14
−
21
6
=
21
8
10.) 1/20
\begin{gathered}10.) \frac{17}{20} \times \frac{1}{1} = \frac{17}{20} \\ \frac{4}{5} \times \frac{4}{4} = \frac{16}{20} \\ \frac{17}{20} + \frac{16}{20} = \frac{1}{20} \end{gathered}
10.)
20
17
×
1
1
=
20
17
5
4
×
4
4
=
20
16
20
17
+
20
16
=
20
1
Answer:
1.334
2.987
3.66
4.123
5.7
Step-by-step explanation:
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