Math Problem Statement
3) 4 - 8/5 + 4/5, 4) 5 - 4 + 4/3 + 2, 5) 42 ÷ 7 + 1/5, 6) 2 - 2/9 × 7, 7) 4 + 2/3 - 3 + 1/2, 8) 6 ÷ 3/5 - 2/5 × 4, 9) 3 + 4 ÷ 1/8, 10) 8 × 3 - 7/2
Solution
Let's break down the problems step by step from the image you uploaded:
Problem 3:
To solve:
- First, subtract from 4. Convert 4 to a fraction: .
- Now, add : Thus, the answer is or .
Problem 4:
To solve:
- First, simplify the integers: .
- Now, add to 3. Convert 3 to a fraction: . Thus, the answer is or .
Problem 5:
To solve:
- First, divide 42 by 7: .
- Now, add to 6: . Thus, the answer is or .
Problem 6:
To solve:
- First, multiply by 7: .
- Now, subtract from 2. Convert 2 to a fraction: . Thus, the answer is .
Problem 7:
To solve:
- First, simplify the integers: .
- Now, add the fractions: Find a common denominator for and , which is 6: Now, add: Thus, or .
Problem 8:
To solve:
- First, divide 6 by . Dividing by a fraction is equivalent to multiplying by the reciprocal:
- Now, multiply .
- Finally, subtract: . Thus, the answer is or .
Problem 9:
To solve:
- First, divide 4 by . Dividing by is the same as multiplying by 8:
- Now, add: . Thus, the answer is 35.
Problem 10:
To solve:
- First, multiply 8 by 3: .
- Now, subtract from 24. Convert 24 to a fraction: Thus, the answer is or .
Would you like any further details on any of these steps?
Here are 5 related questions for practice:
- Simplify .
- Solve .
- What is ?
- Calculate .
- Solve .
Tip: Always convert whole numbers to fractions when adding or subtracting fractions. This makes the process easier!
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Math Problem Analysis
Mathematical Concepts
Fractions
Arithmetic
Multiplication
Division
Addition
Subtraction
Formulas
a ÷ b = a × (1/b)
a - b + c = (a + c) - b
LCM for adding fractions
Theorems
Basic Fraction Arithmetic
Order of Operations (PEMDAS)
Suitable Grade Level
Grades 6-8