Question

Match the addition and subtraction problems to their solutions:

Answer 1

Answer:

1. B

2.c

3. E

4.d

5.A

Step-by-step explanation:

Answer 2

Answer:

we conclude that:

5/7 - 3/7:     B 2/7

1/6+3/6:      C 2/3

1/2+1/4:       E 3/4

1/5+1/2:       D 7/10

1/6-1/8:       A 1/24

Step-by-step explanation:

1)

Given the expression

$\frac{5}{7}-\frac{3}{7}$

Apply the fraction rule:   $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$\frac{5}{7}-\frac{3}{7}=\frac{5-3}{7}$

Add the numbers:  $5-3=2$

          $=\frac{2}{7}$

2)

Given the expression

$\frac{1}{6}+\frac{3}{6}$

Apply the fraction rule:  $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$\frac{1}{6}+\frac{3}{6}=\frac{1+3}{6}$

Add the numbers:   $1+3=4$

         $=\frac{4}{6}$

Cancel 4/6: 2/3

         $=\frac{2}{3}$

3)

Given the expression

$\frac{1}{2}+\frac{1}{4}$

Lease common multiplier of 2, 4: 4

Adjust fractions based on LCM

$\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}$

Apply the fraction rule:  $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$\frac{2}{4}+\frac{1}{4}=\frac{2+1}{4}$

Add the numbers:  $2+1=3$

         $=\frac{3}{4}$

4)

$\frac{1}{5}+\frac{1}{2}$

Lease common multiplier of 5, 2: 10

Adjust fractions based on LCM

$\frac{1}{5}+\frac{1}{2}=\frac{2}{10}+\frac{5}{10}$

Apply the fraction rule:  $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$\frac{2}{10}+\frac{5}{10}=\frac{2+5}{10}$

Add the numbers: 2+5 = 7

$=\frac{7}{10}$

5)

Given the expression

$\frac{1}{6}-\frac{1}{8}$

Lease common multiplier of 6, 8: 24

Adjust fractions based on LCM

$\frac{1}{6}-\frac{1}{8}=\frac{4}{24}-\frac{3}{24}$

Apply the fraction rule:   $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$\frac{4}{24}-\frac{3}{24}=\frac{4-3}{24}$

             $=\frac{1}{24}$

Therefore, we conclude that:

5/7 - 3/7:     B 2/7

1/6+3/6:      C 2/3

1/2+1/4:       E 3/4

1/5+1/2:       D 7/10

1/6-1/8:       A 1/24