+0

# 3/(4+1/(3+2/5)) Simplification

0
103
1

3/(4+1/(3+2/5)) In it's progression, when 4+1/17/5, why and how does it become 4+17/5 as it seems to change thre result from 1/17/5

May 14, 2022

#1
+2448
+1

So we have: $$\large{3 \over {4 + { 1 \over {3 + {2 \over 5}}}}}$$

Working our from the bottom, we have: $${4 + {1 \over {17 \over 5}}}$$.

The fraction can be simplified to: $$\large{{5 \over 5} \over {17 \over 5}}$$

Because both have a common denominator of 5, we can cancel them out, and we have: $$\large{5 \over 17}$$

This means that the denominator becomes $$4 + {5 \over 17}$$not $$4 + {17 \over 5 }$$.

May 14, 2022