Question

Find the quotient. 1 3 4- = 1 2 4 1. 3 4 = 1 2 4 h (Type a whole number, fraction, or mixed number.) 42 +13=0

Answer 1

2 4/7

1) Let's turn those mixed numbers into improper fractions, to make our calculations easier:

`\begin{gathered} 4(1)/(2)=(2*4+1)/(2)=(9)/(2) \\ 1(3)/(4)=(4*1+3)/(4)=(7)/(4) \\ \end{gathered}`

2) Now let's divide those improper fractions, reciprocating the second one and multiplying it by the first one:

`(9)/(2)\colon(7)/(4)=(9)/(2)*(4)/(7)=(36)/(14)=(18)/(7)`

3) Hence, we can write that the quotient of that division 4 1/2 by 1 3/4 is equal to 18/7. To turn it into a Mixed Number let's divide 18/7 and write our Mixed Number equivalent to 18/7: