Math Problem Statement

The uploaded math worksheet contains problems on converting decimals and fractions to percentages, solving mixed fractions and equations, calculating shaded percentages, and ordering decimals and fractions.

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:

  • 0.700.70: Multiply by 100.
    0.70×100=70%0.70 \times 100 = 70\%

19) Convert to percent:

  • 1.81.8: Multiply by 100.
    1.8×100=180%1.8 \times 100 = 180\%

20) 710\frac{7}{10} in percent:

  • Convert 710\frac{7}{10} to a decimal and then multiply by 100.
    710=0.7so0.7×100=70%\frac{7}{10} = 0.7 \quad \text{so} \quad 0.7 \times 100 = 70\%

21) How many percent is shaded?

There are 9 squares, and 6 of them are shaded. Find the fraction and convert to a percentage:
69=0.6667so0.6667×10067%.\frac{6}{9} = 0.6667 \quad \text{so} \quad 0.6667 \times 100 \approx 67\%.
Approximately 67% of the squares are shaded.


22) Solve 1+32+141 + \frac{3}{2} + \frac{1}{4}:

  1. Convert all terms to fractions with a common denominator.
    1=441 = \frac{4}{4}, 32=64\frac{3}{2} = \frac{6}{4}, and 14=14\frac{1}{4} = \frac{1}{4}.
  2. Add the fractions:
    44+64+14=114.\frac{4}{4} + \frac{6}{4} + \frac{1}{4} = \frac{11}{4}.
    The result is 114\frac{11}{4} or 2.75.

23) Solve 978349 - \frac{7}{8} - \frac{3}{4}:

  1. Convert 34\frac{3}{4} to 68\frac{6}{8} so it shares a common denominator with 78\frac{7}{8}.
  2. Subtract the fractions:
    97868=9138.9 - \frac{7}{8} - \frac{6}{8} = 9 - \frac{13}{8}.
  3. Rewrite 99 as 728\frac{72}{8}:
    728138=598.\frac{72}{8} - \frac{13}{8} = \frac{59}{8}.
    The result is 598\frac{59}{8} or 7.375.

24) Solve 14÷51014 \div 5 \cdot 10:

  1. Follow the order of operations.
    14÷5=2.8and then2.810=28.14 \div 5 = 2.8 \quad \text{and then} \quad 2.8 \cdot 10 = 28.
    The result is 28.

25) Order the numbers 3.2,312,3.02,3143.2, 3 \frac{1}{2}, 3.02, 3 \frac{1}{4}:

Convert fractions to decimals for comparison:

  • 3.23.2: Already a decimal.
  • 312=3.53 \frac{1}{2} = 3.5.
  • 3.023.02: Already a decimal.
  • 314=3.253 \frac{1}{4} = 3.25.

Order them from smallest to largest: 3.02,3.2,314(3.25),312(3.5).3.02, 3.2, 3 \frac{1}{4} \, (3.25), 3 \frac{1}{2} \, (3.5).


Would you like more details or explanations on any of the solutions?


Related Questions:

  1. How do you convert between fractions, decimals, and percentages systematically?
  2. Can you explain more on ordering fractions with different denominators?
  3. What is the general method for solving equations with mixed operations like 14÷51014 \div 5 \cdot 10?
  4. How can visual problems (e.g., shaded squares) be calculated in more complex scenarios?
  5. 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

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Suitable Grade Level

Grades 5-7