Lesson
Questions & Videos
\(\textbf{1)}\) \(\hspace{1ex} 1 \frac{2}{5}÷\frac{3}{5} \) The answer is \( \frac{7}{3} \) or \( 2 \frac{1}{3} \)
\(\textbf{2)}\) \(\hspace{1ex} 3 \frac{2}{3}÷1 \frac{1}{5} \)
\(\text{Step 1: Express both as improper fractions.}\)
\(\,\,\,\,\,\,3 \frac{2}{3}÷1 \frac{1}{5}\,\,\, \Rightarrow \,\,\,\displaystyle \frac{11}{3}÷ \frac{6}{5} \)
\(\text{Step 2: Change it to a multiply and flip the second fraction.}\)
\(\,\,\,\,\,\,\displaystyle \frac{11}{3}÷ \frac{6}{5} \,\,\, \Rightarrow \,\,\, \frac{11}{3} \times \frac{5}{6} \)
\(\text{Step 3: Multiply across for top and bottom.}\)
\(\,\,\,\,\,\,\displaystyle \frac{11}{3} \times \frac{5}{6} \,\,\, \Rightarrow \,\,\, \frac{11 \times 5}{6 \times 3} \,\,\, \Rightarrow \,\,\, \frac{55}{18}\)
\(\text{Step 4: Express as a mixed number. (optional)}\)
\(\,\,\,\,\,\,\displaystyle \frac{55}{18} \,\,\, \Rightarrow \,\,\, \)\(3 \frac{1}{18}\)
The answer is \( \frac{55}{18} \) or \( 3 \frac{1}{18} \)![Link to Youtube Video Solving Question Number 2](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\text{Step 1: Express both as improper fractions.}\)
\(\,\,\,\,\,\,3 \frac{2}{3}÷1 \frac{1}{5}\,\,\, \Rightarrow \,\,\,\displaystyle \frac{11}{3}÷ \frac{6}{5} \)
\(\text{Step 2: Change it to a multiply and flip the second fraction.}\)
\(\,\,\,\,\,\,\displaystyle \frac{11}{3}÷ \frac{6}{5} \,\,\, \Rightarrow \,\,\, \frac{11}{3} \times \frac{5}{6} \)
\(\text{Step 3: Multiply across for top and bottom.}\)
\(\,\,\,\,\,\,\displaystyle \frac{11}{3} \times \frac{5}{6} \,\,\, \Rightarrow \,\,\, \frac{11 \times 5}{6 \times 3} \,\,\, \Rightarrow \,\,\, \frac{55}{18}\)
\(\text{Step 4: Express as a mixed number. (optional)}\)
\(\,\,\,\,\,\,\displaystyle \frac{55}{18} \,\,\, \Rightarrow \,\,\, \)\(3 \frac{1}{18}\)
The answer is \( \frac{55}{18} \) or \( 3 \frac{1}{18} \)
\(\textbf{3)}\) \(\hspace{1ex} 10÷1 \frac{1}{4} \) The answer is \( 8 \)
\(\textbf{4)}\) \(\hspace{1ex} 2 \frac{1}{5}÷\frac{1}{10} \) The answer is \( 22 \)
\(\textbf{5)}\) \(\hspace{1ex} 7 \frac{1}{2}÷1 \frac{1}{4} \) The answer is \( 6 \)