Simplify : 1 + 2 1 + 3 1 + 4 5 — Simplification MCQ

Aptitude · Q17

Simplification

Competitive Exams · Aptitude · question 17

Q17

Simplify :

1 + \frac{2}{1 + \frac{3}{1 + \frac{4}{5}}}

\frac{7}{4}

Answer

\frac{4}{7}

\frac{7}{5}

\frac{3}{7}

Answer: Option A

Answer: Option A

Solution:

1 + \frac{2}{1 + \frac{3}{1 + \frac{4}{5}}} = 1 + \frac{2}{1 + \frac{3}{\frac{9}{5}}} = 1 + \frac{2}{1 + \frac{5}{3}} = 1 + \frac{2}{\frac{8}{3}} = 1 + \frac{3}{4} = \frac{7}{4}