Question

find 1. 2/7*3 2. 9/7*6 3. 3*1/8 4. 13/11*6
if the product is an improper fraction express it as a mixed fraction

Answer 1

1. 6/7
2.54/7 = 7 * 5/7
3.3/8.
4.78/11. = 7*1/11

Answer 2

1.) $\frac{2}{7}$ × 3 

  = $\frac{2}{7}$ ×$\frac{3}{1}$

  = $\frac{2*3}{7*1}$ 

  = $\frac{6}{7}$ 




The product is in Proper fraction.


2.) $\frac{9}{7}$ × 3 

 = $\frac{9}{7}$ ×$\frac{3}{1}$

 = $\frac{9*3}{7*1}$

 = $\frac{27}{7}$

                      
Product is in improper fraction 

Mixed fraction = Divide numerator from denominator 

                       =  7 ÷ 27 

                       = Q$\frac{R}{D}$ 

  Now to write this as a mixed number, the whole number part is 3 i.e. quotient the numerator is 6 i.e. the remainder and the denominator is the original denominator 7.

                     = 3$\frac{6}{7}$

                     
3.) 3 * $\frac{1}{8}$ 

= $\frac{3}{1}$ * $\frac{1}{8}$  

= $\frac{3*1}{1*8}$ 

= $\frac{3}{8}$

Product is in proper fraction.


4.) $\frac{13}{11}$ *6 

=  $\frac{13}{11}$ *  $\frac{6}{1}$

=  $\frac{13*6}{11*1}$

=  $\frac{78}{11}$


Product is  in improper fraction.


Mixed fraction ⇒ Divide numerator from denominator  

                       = 11 ÷ 78

                       =Q$\frac{R}{D}$ 

                      = Now to write this as a mixed number, the whole number part is 7 i.e. quotient the numerator is 1 i.e. the remainder and the denominator is the original denominator 11.

                      = 7$\frac{1}{11}$



Hope it helps