Math Problem Statement

20 3 ​ + 16 7 ​

Solution

It looks like you're adding two fractions: 203+167\frac{20}{3} + \frac{16}{7}.

To solve this, we need to find a common denominator, then add the fractions. The least common denominator (LCD) of 3 and 7 is 21. So we rewrite the fractions with 21 as the denominator:

203=20×73×7=14021\frac{20}{3} = \frac{20 \times 7}{3 \times 7} = \frac{140}{21} 167=16×37×3=4821\frac{16}{7} = \frac{16 \times 3}{7 \times 3} = \frac{48}{21}

Now we can add them:

14021+4821=140+4821=18821\frac{140}{21} + \frac{48}{21} = \frac{140 + 48}{21} = \frac{188}{21}

This is the sum of the two fractions.

The fraction 18821\frac{188}{21} is already in its simplest form.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

  1. How do you find the least common denominator (LCD)?
  2. Can you convert 18821\frac{188}{21} into a mixed number?
  3. How do you subtract two fractions?
  4. How do you multiply two fractions, for example 203×167\frac{20}{3} \times \frac{16}{7}?
  5. What happens if the fractions have a common denominator already?

Tip: When adding or subtracting fractions, always check if you can simplify the final answer!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

Fraction addition: a/b + c/d = (a*d + b*c) / (b*d)
Least Common Denominator (LCD) of two fractions

Theorems

Addition of Fractions Theorem

Suitable Grade Level

Grades 5-7