Write an equivalent fraction with a denominator of 35

Explanation

We will compare the given denominator to the required denominator and ask, “What number times 5 equals 35?”  The answer to that question helps us determine the form of 1 to use to build an equivalent fraction.

Solution

To answer the question “What number times 5 equals 35?” we divide 35 by 5 to get 7. Since we need to multiply the denominator of \(\frac35\) by 7 to obtain a denominator of 35, it follows that \(\frac77\) should be the form of 1 that is used to build an equivalent fraction for \(\frac35\).

• Multiply \(\frac35\) by a form of \(1:\frac77 = 1\)
  • \(\frac35 = \frac35 \cdot \frac77\)
• Multiply the numerators and the denominators
  • = \(\frac{3 \cdot 7}{5 \cdot 7}\)
  • = \(\frac{21}{35}\)

We have found that \(\frac{21}{35}\) is equivalent to \(\frac35\).