Question

drag the values at right to a white rectangle so that the equation is true. if the solution is an improper fraction, then the answer is simplified to a mixed number. a $\frac{3}{5}div\frac{6}{7}=\frac{square}{10}$ b $\frac{6}{11}div3 = \frac{square}{11}$ c $\frac{5}{8}div\frac{3}{4}=\frac{square}{6}$ d $6div\frac{3}{5}=1square$ e $\frac{11}{12}div\frac{1}{2}=1\frac{square}{6}$ f $\frac{1}{2}div4=\frac{square}{8}$ 9 1 0 5 7 5 4 2 drag these

Explanation:

Step1: Recall fraction - division rule

To divide two fractions $\frac{a}{b}\div\frac{c}{d}$, we multiply by the reciprocal: $\frac{a}{b}\times\frac{d}{c}$.

Step2: Solve $\frac{3}{5}\div\frac{6}{7}$

$\frac{3}{5}\div\frac{6}{7}=\frac{3}{5}\times\frac{7}{6}=\frac{3\times7}{5\times6}=\frac{21}{30}=\frac{7}{10}$, so the number in the first blank is 7.

Step3: Solve $\frac{6}{11}\div3$

$\frac{6}{11}\div3=\frac{6}{11}\times\frac{1}{3}=\frac{6\times1}{11\times3}=\frac{2}{11}$, so the number in the second blank is 2.

Step4: Solve $\frac{5}{8}\div\frac{3}{4}$

$\frac{5}{8}\div\frac{3}{4}=\frac{5}{8}\times\frac{4}{3}=\frac{5\times4}{8\times3}=\frac{20}{24}=\frac{5}{6}$, so the number in the third blank is 5.

Step5: Solve $6\div\frac{3}{5}$

$6\div\frac{3}{5}=6\times\frac{5}{3}=\frac{6\times5}{3}=10 = 1\frac{9}{1}$, so the number in the fourth blank is 9.

Step6: Solve $\frac{11}{12}\div\frac{1}{2}$

$\frac{11}{12}\div\frac{1}{2}=\frac{11}{12}\times2=\frac{11\times2}{12}=\frac{11}{6}=1\frac{5}{6}$, so the number in the fifth blank is 5.

Step7: Solve $\frac{1}{2}\div4$

$\frac{1}{2}\div4=\frac{1}{2}\times\frac{1}{4}=\frac{1\times1}{2\times4}=\frac{1}{8}$, so the number in the sixth blank is 1.

Answer:

A. 7
B. 2
C. 5
D. 9
E. 5
F. 1