Question

What is 2.161616 as a fraction and as a mixed number

Answer 1

Answer:

2.161616 as a fraction is 2 161616/1000000 in simplest form its 2 10101/62500

Step-by-step explanation:

Answer 2

Answer:

see explanation

Step-by-step explanation:

We require to create 2 equations with the repeating value placed after the decimal point.

let x = 2.1616...... → (1) Multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2) to eliminate the repeating decimal.

99x = 214 ( divide both sides by 99 )

x = $\frac{214}{99}$ = 2 $\frac{16}{99}$ as a mixed number

Thus

2.1616...... = $\frac{214}{99}$ = 2 $\frac{16}{99}$