Write 4 as an equivalent fraction with a denominator of 6

Explanation

We will express 4 as the fraction \(\frac41\) and build an equivalent fraction by multiplying it by \(\frac66\).  Since we need to multiply the denominator of \(\frac41\) by 6 to obtain a denominator of 6, it follows that \(\frac66\) should be the form of 1 that is used to build an equivalent fraction \(\frac41\).

Solution

• Write 4 as a fraction: \(4 = \frac41\)
  • \(4 = \frac41\)
• Build an equivalent fraction by multiplying \(frac41\) by a form of \(1: \frac66 = 1\)
  • = \(\frac41 \cdot \frac66 \)
• Multiply the numerators and denominators
  • = \(\frac{4 \cdot 6}{1 \cdot 6}\)
  • = \(\frac{24}{6}\)