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Solve the following mixed operations with parentheses:

Mathematics

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Answers

6 parts
a

693\text{693}

b

8\text{8}

c

34\text{34}

d

101\text{101}

e

31\text{31}

f

446\text{446}

Step-by-step solution

15 steps

Here are the solutions for the mixed operations with parentheses:

Part a· 2 steps

(31+68)×7(31 + 68) \times 7

  1. Perform the operation inside the parentheses.

    31+68=9931 + 68 = 99

  2. Multiply the result by 7.

    99×7=69399 \times 7 = 693

    The value is 693\boxed{\text{693}}.

Part b

8\text{8}

(48−16)÷4(48 - 16) \div 4

  1. Perform the operation inside the parentheses.

    48−16=3248 - 16 = 32

  2. Divide the result by 4.

    32÷4=832 \div 4 = 8

    The value is 8\boxed{\text{8}}.

Part c

34\text{34}

13×7−(42+15)13 \times 7 - (42 + 15)

  1. Perform the operation inside the parentheses.

    42+15=5742 + 15 = 57

  2. Perform the multiplication.

    13×7=9113 \times 7 = 91

  3. Perform the subtraction.

    91−57=3491 - 57 = 34

    The value is 34\boxed{\text{34}}.

Part d

101\text{101}

76÷4+(168−86)76 \div 4 + (168 - 86)

  1. Perform the operation inside the parentheses.

    168−86=82168 - 86 = 82

  2. Perform the division.

    76÷4=1976 \div 4 = 19

  3. Perform the addition.

    19+82=10119 + 82 = 101

    The value is 101\boxed{\text{101}}.

Part e

31\text{31}

(7×7)+16÷4−22(7 \times 7) + 16 \div 4 - 22

  1. Perform the operation inside the parentheses.

    7×7=497 \times 7 = 49

  2. Perform the division.

    16÷4=416 \div 4 = 4

  3. Perform addition and subtraction from left to right.

    49+4−22=53−22=3149 + 4 - 22 = 53 - 22 = 31

    The value is 31\boxed{\text{31}}.

Part f

446\text{446}

316−(18×5)+3+217316 - (18 \times 5) + 3 + 217

  1. Perform the operation inside the parentheses.

    18×5=9018 \times 5 = 90

  2. Perform addition and subtraction from left to right.

    316−90+3+217=226+3+217=229+217=446316 - 90 + 3 + 217 = 226 + 3 + 217 = 229 + 217 = 446

    The value is 446\boxed{\text{446}}.

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