Respuesta :
1. Write the following as a mixed number. [tex] \frac{65}{18} [/tex]
[tex] 3\frac{11}{18} [/tex]
2. Write [tex] 2\frac{5}{7} [/tex] as an improper fraction
[tex] \frac{18}{7} [/tex]
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
[tex] 3\frac{11}{18} [/tex]
2. Write [tex] 2\frac{5}{7} [/tex] as an improper fraction
[tex] \frac{18}{7} [/tex]
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 and Explanation :
1) Number [tex]\frac{65}{18}[/tex]
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. [tex]\frac{65}{18}=3\frac{11}{18}[/tex]
2) Number [tex]2\frac{5}{7}[/tex]
Converting mixed into improper fraction,
Step 1 - Multiply the whole number part by the denominator
i.e. [tex]7\times 2=14[/tex]
Step 2 - Add that to the numerator
i.e. [tex]14+5=19[/tex]
Step 3 - The result is
[tex]2\frac{5}{7}=\frac{19}{7}[/tex]
3) Perform the operation and write the answer in simplest form.
a) [tex]\frac{4}{7}\times\frac{3}{11}[/tex]
Multiply,
[tex]\frac{4}{7}\times\frac{3}{11}=\frac{12}{77}[/tex]
b) [tex]\frac{6}{10}\div\frac{12}{7}[/tex]
Divide,
[tex]\frac{6}{10}\div\frac{12}{7}=\frac{6\times 7}{10\times 12}[/tex]
[tex]\frac{6}{10}\div\frac{12}{7}=\frac{7}{20}[/tex]
c) [tex]5\frac{1}{7}\times3\frac{1}{9}[/tex]
First convert mixed into improper,
[tex]\frac{36}{7}\times\frac{28}{9}[/tex]
Multiply,
[tex]\frac{36}{7}\times\frac{28}{9}=16[/tex]
d) [tex]6\frac{3}{7}\div 1\frac{13}{14}[/tex]
First convert mixed into improper,
[tex]\frac{45}{7}\times\frac{27}{14}[/tex]
Divide,
[tex]\frac{45}{7}\times\frac{27}{14}=\frac{45\times 14}{7\times27}[/tex]
[tex]\frac{45}{7}\times\frac{27}{14}=\frac{10}{3}[/tex]
