Math Problem Statement

Which fraction is equal to 1/6 + 1/6 + 1/6?

Solution

To solve the problem in the image, we need to evaluate the expression:

16+16+16.\frac{1}{6} + \frac{1}{6} + \frac{1}{6}.

Step-by-Step Solution:

  1. Add the fractions: Since all fractions have the same denominator (66), we simply add the numerators: 16+16+16=1+1+16=36.\frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{1 + 1 + 1}{6} = \frac{3}{6}.

  2. Simplify the fraction: The fraction 36\frac{3}{6} can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 33: 36=3÷36÷3=12.\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}.

Thus, the equivalent fraction is 36\frac{3}{6}.

Correct Answer:

The correct choice from the given options is 36\frac{3}{6}.


Would you like more explanation?

Here are 5 related questions for practice:

  1. What is 28+18+38\frac{2}{8} + \frac{1}{8} + \frac{3}{8}?
  2. Simplify 412\frac{4}{12}.
  3. How do you add fractions with different denominators?
  4. What is 5626\frac{5}{6} - \frac{2}{6}?
  5. Can you convert 12\frac{1}{2} to a decimal?

Tip:

When adding fractions, ensure the denominators are the same. If they are different, find the least common denominator (LCD) before adding.

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Math Problem Analysis

Mathematical Concepts

Fraction Addition
Simplification of Fractions

Formulas

Sum of fractions with a common denominator: a/b + c/b = (a + c)/b

Theorems

Basic Fraction Arithmetic

Suitable Grade Level

Grades 4-6