Question

Write the following as a mixed number.

Answer 1

1. Write the following as a mixed number. $\frac{65}{18}$
$3\frac{11}{18}$

2. Write $2\frac{5}{7}$ as an improper fraction
$\frac{18}{7}$

3. Perform the operation and write the answer in simplest form.
a)4/7*3/11= 12/77
b)6/10 / 12/7= 7/20
c)5 1/7*3 1/9= 16
d)6 3/7 / 1 13/14= 10/3

Hope this helps

Answer 2

Answer and Explanation :

1) Number  $\frac{65}{18}$

Converting improper fraction into mixed fraction,

Divide 65 by 18

65 ÷ 18 = 3 with a remainder 11.            

11 ÷ 4 = 2 with a remainder of 3

So, We write down the 3 and then write down the remainder 11 above the denominator 18.

i.e. $\frac{65}{18}=3\frac{11}{18}$

2) Number $2\frac{5}{7}$

Converting mixed into improper fraction,

Step 1 - Multiply the whole number part by the denominator

i.e. $7\times 2=14$

Step 2 - Add that to the numerator

i.e.  $14+5=19$

Step 3 - The result is

$2\frac{5}{7}=\frac{19}{7}$

3) Perform the operation and write the answer in simplest form.

a) $\frac{4}{7}\times\frac{3}{11}$

Multiply,

$\frac{4}{7}\times\frac{3}{11}=\frac{12}{77}$

b) $\frac{6}{10}\div\frac{12}{7}$

Divide,

$\frac{6}{10}\div\frac{12}{7}=\frac{6\times 7}{10\times 12}$

$\frac{6}{10}\div\frac{12}{7}=\frac{7}{20}$

c) $5\frac{1}{7}\times3\frac{1}{9}$

First convert mixed into improper,

$\frac{36}{7}\times\frac{28}{9}$

Multiply,

$\frac{36}{7}\times\frac{28}{9}=16$

d) $6\frac{3}{7}\div 1\frac{13}{14}$

First convert mixed into improper,

$\frac{45}{7}\times\frac{27}{14}$

Divide,

$\frac{45}{7}\times\frac{27}{14}=\frac{45\times 14}{7\times27}$

$\frac{45}{7}\times\frac{27}{14}=\frac{10}{3}$