Math Problem Statement
Solution
The image contains a math exercise worksheet in what seems to be Norwegian, covering various tasks such as converting decimals to percentages, ordering fractions and decimals, solving equations, and calculating shaded percentages in a visual problem.
Here’s a breakdown of the questions and their solutions:
18) Convert to percent:
- : Multiply by 100.
19) Convert to percent:
- : Multiply by 100.
20) in percent:
- Convert to a decimal and then multiply by 100.
21) How many percent is shaded?
There are 9 squares, and 6 of them are shaded. Find the fraction and convert to a percentage:
Approximately 67% of the squares are shaded.
22) Solve :
- Convert all terms to fractions with a common denominator.
, , and . - Add the fractions:
The result is or 2.75.
23) Solve :
- Convert to so it shares a common denominator with .
- Subtract the fractions:
- Rewrite as :
The result is or 7.375.
24) Solve :
- Follow the order of operations.
The result is 28.
25) Order the numbers :
Convert fractions to decimals for comparison:
- : Already a decimal.
- .
- : Already a decimal.
- .
Order them from smallest to largest:
Would you like more details or explanations on any of the solutions?
Related Questions:
- How do you convert between fractions, decimals, and percentages systematically?
- Can you explain more on ordering fractions with different denominators?
- What is the general method for solving equations with mixed operations like ?
- How can visual problems (e.g., shaded squares) be calculated in more complex scenarios?
- What strategies help simplify addition and subtraction of fractions?
Tip:
When working with fractions, always try to find a common denominator to simplify addition or subtraction!
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Math Problem Analysis
Mathematical Concepts
Fractions and decimals
Percentage conversion
Addition and subtraction of fractions
Order of operations
Visual representation of percentages
Comparing and ordering numbers
Formulas
Decimal to percentage: value × 100
Fraction to percentage: (numerator ÷ denominator) × 100
Addition/subtraction of fractions: Find common denominator
Order of operations: PEMDAS/BODMAS
Theorems
-
Suitable Grade Level
Grades 5-7
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