Question

A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?

Answer 1

96

Explanation:

When you add 1\4 and 3\4, that equals 1 foot. 3+4 equals 7. 7+1 equals 8 feet and if you convert 8 feet into inches, that equals 96. {I did this in my head so it may be wrong lol}

Answer 2

let's firstly convert the mixed fractions to improper fractions, and then use the LCD, which in this case is 4, to sum them up.

`\bf \stackrel{mixed}{3(1)/(4)}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{4(3)/(4)}\implies \cfrac{4\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{19}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{4}+\cfrac{19}{4}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{13+19}{4}}\implies \cfrac{32}{4}\implies 8`