write 3.6 as a mixed number and as an improper fraction. write your answers in simplest form. mixed number…
write 3.6 as a mixed number and as an improper fraction. write your answers in simplest form. mixed number: improper fraction:
Answer
Explanation:
Step1: Separate integer and decimal
The integer part of 3.6 is 3, and the decimal part 0.6.
Step2: Convert decimal to fraction
0.6 can be written as $\frac{6}{10}$, and simplify it to $\frac{3}{5}$.
Step3: Form mixed - number
Combining the integer and the fraction, the mixed - number is $3\frac{3}{5}$.
Step4: Convert mixed - number to improper fraction
$3\frac{3}{5}=\frac{3\times5 + 3}{5}=\frac{15 + 3}{5}=\frac{18}{5}$.
Answer:
mixed number: $3\frac{3}{5}$ improper fraction: $\frac{18}{5}$