The value of \(\dfrac{a}{b}\) is required.
The required fraction is \(\dfrac{a}{b}=\dfrac{4}{7}\)
Fractions
The given fraction is
\(\dfrac{a}{4}=\dfrac{b}{7}\)
Multiplying by \(4\) on both sides
\(a=\dfrac{4b}{7}\)
Multiplying by \(7\) on both sides
\(7a=4b\)
Dividing by \(7\) on both sides
\(a=\dfrac{4}{7}b\)
Dividing by \(b\) on both sides
\(\dfrac{a}{b}=\dfrac{4}{7}\)
Learn more about fractions:
https://brainly.com/question/78672
