Answer:
Addition and Subtraction of Dissimilar Fractions:
The least common denominator is used. It is used to express the dissimilar fractions into similar fractions. Addition and subtraction can only be done when the dissimilar fractions are changed to similar. Answers are expressed in lowest form. It is done by using the greatest common factor of the numerator and the denominator.
Answers:
\frac{1}{24}
24
1
1 \frac{11}{12}
12
11
5 \frac{1}{21}
21
1
14 \frac{1}{4}
4
1
Solutions:
1. \frac{7}{8}
8
7
- \frac{5}{6}
6
5
=
Using the least common denominator, express the given as similar fractions.
\frac{3(7)}{24}
24
3(7)
- \frac{4(5)}{24}
24
4(5)
= \frac{21}{24}
24
21
- \frac{20}{24}
24
20
Proceed with the subtraction.
\frac{21}{24}
24
21
- \frac{20}{24}
24
20
= \frac{1}{24}
24
1
2. \frac{7}{6}
6
7
+ \frac{3}{4}
4
3
=
Using the least common denominator, express the given as similar fractions.
\frac{4(7)}{24}
24
4(7)
+ \frac{6(3)}{24}
24
6(3)
= \frac{28}{24}
24
28
+ \frac{18}{24}
24
18
Proceed with the addition.
\frac{28}{24}
24
28
+ \frac{18}{24}
24
18
= \frac{46}{24}
24
46
Express the sum in lowest form.
\frac{46}{24}
24
46
= 1 \frac{22}{24}
24
22
= 1
3. 10 \frac{5}{7}
7
5
- 5 \frac{2}{3}
3
2
=
Separate the whole numbers with the fractions.
10 - 5 + \frac{5}{7}
7
5
- \frac{2}{3}
3
2
Subtract the whole numbers.
10 - 5 = 5
Using the least common denominator, express the fractions as similar.
\frac{5}{7}
7
5
- \frac{2}{3}
3
2
= \frac{3(5)}{21}
21
3(5)
- \frac{7(2)}{21}
21
7(2)
= \frac{15}{21}
21
15
- \frac{14}{21}
21
14
Proceed with the subtraction.
\frac{15}{21}
21
15
- \frac{14}{21}
21
14
= \frac{1}{21}
21
1
Combine the difference of the whole numbers and the difference of the fractions.
5 \frac{1}{21}
21
1
4. 8 \frac{5}{8}
8
5
+ 5 \frac{3}{4}
4
3
=
Separate the whole numbers from the fractions.
8 + 5 + \frac{5}{8}
8
5
+ \frac{3}{4}
4
3
Combine the whole numbers.
8 + 5 = 13
Using the least common denominator, express the fractions as similar.
\frac{5}{8}
8
5
+ \frac{3}{4}
4
3
= \frac{1(5)}{8}
8
1(5)
+ \frac{2(3)}{8}
8
2(3)
= \frac{5}{8}
8
5
+ \frac{5}{8}
8
5
Proceed with the addition.
\frac{5}{8}
8
5
+ \frac{5}{8}
8
5
= \frac{10}{8}
8
10
Combine the sum of the whole numbers and the sum of the fractions.
13 \frac{10}{8}
8
10
Express the answer in lowest form.
13 + 1 \frac{2}{8}
8
2
= 14
What are dissimilar fractions: https://brainly.ph/question/6368831
How to add and subtract dissimilar fractions: https://brainly.ph/question/7042035
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