Math Problem Statement

3/10 +2/4

Solution

To solve 310+24\frac{3}{10} + \frac{2}{4}, let's proceed with the following steps:

  1. Convert each fraction to have a common denominator, if necessary.

    • The least common multiple (LCM) of the denominators 10 and 4 is 20.
  2. Convert each fraction to have 20 as the denominator:

    • 310=3×210×2=620\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
    • 24=2×54×5=1020\frac{2}{4} = \frac{2 \times 5}{4 \times 5} = \frac{10}{20}
  3. Add the fractions: 620+1020=6+1020=1620\frac{6}{20} + \frac{10}{20} = \frac{6 + 10}{20} = \frac{16}{20}

  4. Simplify the result if possible:

    • 1620=45\frac{16}{20} = \frac{4}{5} (by dividing the numerator and the denominator by 4).

Thus, 310+24=45\frac{3}{10} + \frac{2}{4} = \frac{4}{5}.

Would you like further details on fraction operations, or do you have any questions?

Here are five related questions for practice:

  1. What is 15+310\frac{1}{5} + \frac{3}{10}?
  2. Simplify 78+14\frac{7}{8} + \frac{1}{4}.
  3. Add 512+38\frac{5}{12} + \frac{3}{8}.
  4. How do you add fractions with different denominators?
  5. Can you simplify 915\frac{9}{15}?

Tip: When adding fractions, always look for the least common denominator to simplify the calculation process.

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Math Problem Analysis

Mathematical Concepts

Fractions
Common Denominators
Simplification of Fractions

Formulas

LCM (Least Common Multiple)
Fraction Addition Formula

Theorems

Simplification of Fractions

Suitable Grade Level

Grades 3-5