Math Problem Statement

1. 5 3/16 + 2 7/16, 2. 4 3/4 - 6/4, 3. 4 3/6 + 1 4/6, 4. 5 4/5 - 2 2/5, 5. 11/2 - 3/2, 6. 8/10 + 4/10, 7. 25/100 - 12/100, 8. 2 7/12 + 2 5/12

Solution

Here are the solutions to the given fraction problems:

1. 5316+27165 \frac{3}{16} + 2 \frac{7}{16}

Convert to improper fractions: 8316+3916=12216=71016=758\frac{83}{16} + \frac{39}{16} = \frac{122}{16} = 7 \frac{10}{16} = 7 \frac{5}{8}

2. 434644 \frac{3}{4} - \frac{6}{4}

Convert to improper fractions: 19464=134=314\frac{19}{4} - \frac{6}{4} = \frac{13}{4} = 3 \frac{1}{4}

3. 436+1464 \frac{3}{6} + 1 \frac{4}{6}

Convert to improper fractions: 276+106=376=616\frac{27}{6} + \frac{10}{6} = \frac{37}{6} = 6 \frac{1}{6}

4. 5452255 \frac{4}{5} - 2 \frac{2}{5}

Convert to improper fractions: 295125=175=325\frac{29}{5} - \frac{12}{5} = \frac{17}{5} = 3 \frac{2}{5}

5. 11232\frac{11}{2} - \frac{3}{2}

11232=82=4\frac{11}{2} - \frac{3}{2} = \frac{8}{2} = 4

6. 810+410\frac{8}{10} + \frac{4}{10}

1210=115\frac{12}{10} = 1 \frac{1}{5}

7. 2510012100\frac{25}{100} - \frac{12}{100}

13100\frac{13}{100}

8. 2712+25122 \frac{7}{12} + 2 \frac{5}{12}

Convert to improper fractions: 3112+2912=6012=5\frac{31}{12} + \frac{29}{12} = \frac{60}{12} = 5

Would you like a detailed breakdown of any specific problem?

Related Questions:

  1. How do you convert a mixed number into an improper fraction?
  2. What is the process for adding fractions with different denominators?
  3. How do you simplify improper fractions into mixed numbers?
  4. What are some common mistakes when subtracting fractions?
  5. Why is finding a common denominator important when adding fractions?

Tip:

Always check if you can simplify the final fraction to make your answer more concise. 😊

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Math Problem Analysis

Mathematical Concepts

Fractions
Mixed Numbers
Improper Fractions
Addition
Subtraction

Formulas

Converting mixed numbers to improper fractions
Simplifying fractions
Adding and subtracting fractions with the same denominator

Theorems

Fraction addition and subtraction rules

Suitable Grade Level

Grades 4-6