Math Problem Statement

3/5 + 1/4= 12/20

Solution

Let's check the calculation step by step:

  1. Find a common denominator for 35\frac{3}{5} and 14\frac{1}{4}.

    • The least common denominator (LCD) of 5 and 4 is 20.
  2. Convert the fractions:

    • 35=3×45×4=1220\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}
    • 14=1×54×5=520\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
  3. Add the fractions:
    1220+520=12+520=1720\frac{12}{20} + \frac{5}{20} = \frac{12+5}{20} = \frac{17}{20}

So, 35+14=1720\frac{3}{5} + \frac{1}{4} = \frac{17}{20}, not 1220\frac{12}{20}. Your calculation was incorrect.

Would you like a more detailed explanation?

Related Questions:

  1. How do you find the least common denominator (LCD)?
  2. How do you subtract fractions with different denominators?
  3. What are improper fractions, and how do you convert them to mixed numbers?
  4. How do you simplify fractions after addition?
  5. Can you explain fraction multiplication and division?

Tip: Always check your work by converting back to decimals to verify accuracy! 35=0.6\frac{3}{5} = 0.6 and 14=0.25\frac{1}{4} = 0.25, so 0.6+0.25=0.850.6 + 0.25 = 0.85, which matches 1720\frac{17}{20}.

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Math Problem Analysis

Mathematical Concepts

Fraction Addition
Least Common Denominator
Simplification of Fractions

Formulas

Addition of Fractions: a/b + c/d = (ad + bc) / bd

Theorems

Least Common Denominator (LCD)

Suitable Grade Level

Grades 4-6