Math Problem Statement

What

is

the

least

common

denominator

of

1

3

,

5

6

,

and

1

6

Solution

To find the least common denominator (LCD) of the fractions 13\frac{1}{3}, 56\frac{5}{6}, and 16\frac{1}{6}, we need to determine the least common multiple (LCM) of the denominators: 3 and 6.

The denominators are 3 and 6. The LCM of 3 and 6 is 6, since 6 is the smallest number divisible by both 3 and 6.

Thus, the least common denominator (LCD) of 13\frac{1}{3}, 56\frac{5}{6}, and 16\frac{1}{6} is 6.

Do you want more details or have any questions?

Here are 5 related questions:

  1. How do you convert fractions to have the same denominator?
  2. What is the least common denominator of 25\frac{2}{5} and 415\frac{4}{15}?
  3. How can the least common denominator help in adding fractions?
  4. What is the LCM of two numbers, and how is it calculated?
  5. Can you find the least common denominator of 34\frac{3}{4}, 25\frac{2}{5}, and 710\frac{7}{10}?

Tip: When comparing fractions, always convert them to have the same denominator for easier calculations!

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Math Problem Analysis

Mathematical Concepts

Fractions
Least Common Denominator
Least Common Multiple

Formulas

LCM(a, b) = smallest number divisible by both a and b

Theorems

Least Common Multiple

Suitable Grade Level

Grades 4-6