Math Problem Statement

⅓ of 4+ ⅔ of 27

Solution

Let's break down the expression step by step:

You have:

13×4+23×27\frac{1}{3} \times 4 + \frac{2}{3} \times 27

  1. Calculate 13×4\frac{1}{3} \times 4:

13×4=43\frac{1}{3} \times 4 = \frac{4}{3}

  1. Calculate 23×27\frac{2}{3} \times 27:

23×27=18\frac{2}{3} \times 27 = 18

Now, add the two results together:

43+18=43+543=583\frac{4}{3} + 18 = \frac{4}{3} + \frac{54}{3} = \frac{58}{3}

So, the final result is:

58319.33\frac{58}{3} \approx 19.33

Would you like more details or have any questions?

Here are some related questions:

  1. How do you convert fractions into decimals?
  2. How do you simplify fractional sums?
  3. Can you explain multiplying fractions with whole numbers?
  4. What is the process for adding fractions with different denominators?
  5. How do you convert improper fractions to mixed numbers?

Tip: When multiplying fractions with whole numbers, treat the whole number as a fraction with a denominator of 1.

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Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication
Addition of Fractions

Formulas

Multiplication of a fraction by a whole number: (a/b) × c = (a × c) / b
Addition of fractions: a/b + c/b = (a + c) / b

Theorems

Fundamental theorem of fractions (common denominator for addition)

Suitable Grade Level

Grades 6-8