Question

Write each mixed number as an improper fractiom.A) 4 3/5 B) -2 2/3 C) 11 3/7

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Convert the first mixed fraction to improper fraction

`\begin{gathered} 4(3)/(5) \\ Multiply\text{ the denominator of the fraction by the whole number and add the numerator} \\ then\text{ write the result all over the denominator of the fraction} \\ \\ ((5*4)+3)/(5)=(20+3)/(5)=(23)/(5) \\ \\ \therefore Improper\text{ }fraction=(23)/(5) \end{gathered}`

STEP 2: Convert the second mixed fraction to improper fraction

`\begin{gathered} -2(2)/(3) \\ Multiply\text{ the denominator of the fraction by the whole number and add the numerator} \\ then\text{ write the result all over the denominator of the fraction} \\ \\ -((3*2)+3)/(3)=-(6+2)/(3)=-(8)/(3) \\ \\ \therefore Improper\text{ }fraction=-(8)/(3) \end{gathered}`

STEP 3: Convert the third mixed fraction to improper fraction

`\begin{gathered} 11(3)/(7) \\ Multiply\text{ the denominator of the fraction by the whole number and add the numerator} \\ then\text{ write the result all over the denominator of the fraction} \\ \\ ((7*11)+3)/(7)=(77+3)/(7)=(80)/(7) \\ \\ \therefore Improper\text{ }fraction=(80)/(7) \end{gathered}`