Math Problem Statement

solve it.

Evaluate 3/4 * (1/3 + 2/7)

Solution

The expression 34(13+27)\frac{3}{4} \left( \frac{1}{3} + \frac{2}{7} \right) evaluates to:

1328\frac{13}{28}

In decimal form, this is approximately:

0.46430.4643

Would you like further explanation or details on the steps?

Here are 5 related questions to deepen your understanding:

  1. How do you add fractions with different denominators?
  2. How can you multiply a fraction by a sum of fractions?
  3. What is the difference between exact and approximate answers in fraction problems?
  4. How can improper fractions be converted to mixed numbers?
  5. What are some real-world applications of adding and multiplying fractions?

Tip: Always simplify fractions at the earliest step to make calculations easier!

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Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication of Fractions
Addition of Fractions

Formulas

a/b + c/d = (a*d + b*c) / (b*d)
(a/b) * (c/d) = (a*c) / (b*d)

Theorems

Fraction addition with different denominators
Multiplication of a fraction by a sum of fractions

Suitable Grade Level

Grades 5-7