Which of the following fractions is equivalent to fraction 6/8 with numerator 156? (1) 156/300 (2) 156/308 (3) 156/200 (4) 156/208

Question

Which of the following fractions is equivalent to fraction \(\frac{6}{8}\) with numerator 156?

(1) \(\frac{156}{300}\)

(2) \(\frac{156}{308}\)

(3) \(\frac{156}{200}\)

(4) \(\frac{156}{208}\)

Answer 1

Correct option is: (4) \(\frac{156}{208}\)

\(\frac{6}{8}= \frac{6 \div 2}{8 \div 2}= \frac{3}{4}\)

Since \(\frac{3}{4}\) is equivalent to \(\frac{6}{8}\).

\(156 \div 3=52\)

So, multiply both the numerator and denominator of \(\frac{3}{4}\) by \(52\).

\(\frac{3}{4} \times \frac{52}{52}\)

\(=\frac{156}{208}\)