write a equivalent fraction of 3/9 and multiply or divide the numerator or denominator by the same number
The Correct Answer and Explanation is:
To write an equivalent fraction for 39\frac{3}{9}93, we need to multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same number. In this case, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common factor (GCF).
First, let’s identify the GCF of 3 and 9. The factors of 3 are 1 and 3, and the factors of 9 are 1, 3, and 9. The greatest common factor is 3.
Now, divide both the numerator and the denominator by 3:39=3÷39÷3=13\frac{3}{9} = \frac{3 \div 3}{9 \div 3} = \frac{1}{3}93=9÷33÷3=31
So, 39\frac{3}{9}93 is equivalent to 13\frac{1}{3}31.
Explanation:
An equivalent fraction is one that represents the same value, but with different numbers. To find equivalent fractions, we can either multiply or divide both the numerator and the denominator by the same non-zero number. This process keeps the value of the fraction unchanged because we are multiplying or dividing by the same factor.
In this case, dividing both the numerator and denominator of 39\frac{3}{9}93 by their GCF of 3 gives us the simplified fraction 13\frac{1}{3}31, which is equivalent to 39\frac{3}{9}93 but in its simplest form.
It’s important to remember that when creating equivalent fractions, the value of the fraction remains the same, even though the numbers may look different.
