Math Problem Statement

Adding fraction 1/6+2/18

Solution

To add the fractions 16+218\frac{1}{6} + \frac{2}{18}, let's follow these steps:

  1. Find a common denominator: The least common denominator (LCD) of 6 and 18 is 18.

  2. Rewrite fractions with the LCD: 16=318(since 16=1×36×3)\frac{1}{6} = \frac{3}{18} \quad (\text{since} \ \frac{1}{6} = \frac{1 \times 3}{6 \times 3}) The second fraction, 218\frac{2}{18}, stays the same.

  3. Add the fractions: 318+218=518\frac{3}{18} + \frac{2}{18} = \frac{5}{18}

So, 16+218=518\frac{1}{6} + \frac{2}{18} = \frac{5}{18}.

Would you like more details, or do you have any questions?

Here are 5 related questions for practice:

  1. Add 25+310\frac{2}{5} + \frac{3}{10}.
  2. Simplify 412+518\frac{4}{12} + \frac{5}{18}.
  3. Add 714+17\frac{7}{14} + \frac{1}{7}.
  4. What is 38+14\frac{3}{8} + \frac{1}{4}?
  5. Add 59+212\frac{5}{9} + \frac{2}{12}.

Tip: Always simplify fractions before performing operations, if possible. This makes calculations easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Least Common Denominator
Addition of Fractions

Formulas

\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}
Least Common Denominator (LCD)

Theorems

Addition of fractions with a common denominator

Suitable Grade Level

Grades 4-6