\input{Templates/layout} % Set your dynamic text commands here \renewcommand{\worksheetTitle}{Fractions} \renewcommand{\worksheetID}{FRC-L02-001} \begin{document} \tikz\path[opacity=0.01] (0,0); % Forces PDF viewers to load transparency rules right away on Page 1 % Fill out the active student tracking fields \worksheetHeader{}{}{}{}{}{} \ApplySignatureLayout \questionrow{1}{What is the primary rule you must check about the denominators before adding or subtracting two fractions?}{2}{Explain why you can directly add $\frac{1}{8} + \frac{2}{8}$ but you cannot directly add $\frac{1}{2} + \frac{1}{3}$.}\vfill \questionrow{3}{When adding two fractions with the same denominator, such as $\frac{a}{c} + \frac{b}{c}$, what do you do to the numerators and the denominators?}{4}{If you want to add $\frac{1}{2} + \frac{1}{5}$, what is the necessary first step before performing any addition?}\vfill \questionrow{5}{Why do we look for the Least Common Multiple (LCM) of the denominators when finding a common denominator?}{6}{A student claims that $\frac{1}{3} + \frac{1}{3} = \frac{2}{6}$. Explain the error in the student's reasoning.}\vfill \newpage \questionrow{7}{Explain the standard rule for multiplying a fraction by a whole number.}{8}{A circle is split into $6$ equal slices, and $5$ of them are shaded. Write a fraction to represent the shaded area.}\vfill \questionrow{9}{Can a whole number like $4$ be written as a fraction? If yes, show how to write it.}{10}{Express the division statement $5 \div 8$ as a fraction.}\vfill \questionrow{11}{In math word problems, what operation is usually indicated by the phrase "half of" a number?}{12}{Complete the general rule for multiplying two fractions: $\frac{a}{b} \times \frac{c}{d} = \frac{\Box}{\Box}$.}\vfill \newpage \questionrow{13}{In the expression $\frac{3}{4} \times \frac{4}{5}$, what can you do to make it simpler to solve before multiplying across?}{14}{Define what a reciprocal is in your own words.}\vfill \questionrow{15}{What is the step-by-step method to find the reciprocal of a given fraction?}{16}{Find the reciprocal of the fraction $\frac{10}{4}$.}\vfill \questionrow{17}{Dividing a whole number by a fraction is equivalent to multiplying that whole number by what?}{18}{Complete the following algebraic division rule: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{\Box}{\Box}$.}\vfill \newpage \end{document}