Equal Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Determine whether 46=69\frac{4}{6} = \frac{6}{9}. Justify your answer.

Solution

  1. 1
    Simplify 46\frac{4}{6}: gcd⁡(4,6)=2\gcd(4,6) = 2, so 46=23\frac{4}{6} = \frac{2}{3}.
  2. 2
    Simplify 69\frac{6}{9}: gcd⁡(6,9)=3\gcd(6,9) = 3, so 69=23\frac{6}{9} = \frac{2}{3}.
  3. 3
    Both equal 23\frac{2}{3}, so yes, 46=69\frac{4}{6} = \frac{6}{9}.

Answer

46=69=23\frac{4}{6} = \frac{6}{9} = \frac{2}{3}
Two fractions are equal if they reduce to the same simplest form. Equal fractions are called equivalent fractions — different symbols that represent the same point on the number line.

About Equal

Having exactly the same value or amount; the relationship expressed by the symbol == between two expressions.

Learn more about Equal →

More Equal Examples

Example 1 easy

Is the equation [formula] true? Show why.

Example 2 medium

Find the value of [formula] that makes [formula] true.

Example 3 easy

Fill in the blank: [formula].

← All Equal Examples Equal Concept