Please help me to solve this question 7 I will mark you as brain list

1.	Please help me to solve this question 7 I will mark you as brain list
Answer» To solve, we are going to MULTIPLY 1 to the FRACTIONS. 1 is a number having the same NUMERATOR and denominator. (I) $\dfrac{2}{3}$ or $\dfrac{3}{5}$ → $\dfrac{2}{3} \times \dfrac{5}{5} = \dfrac{10}{15}$ or $\dfrac{3}{5} \times \dfrac{3}{3} = \dfrac{9}{15}$ → $\dfrac{2}{3}$ is LARGER. (II) $\dfrac{6}{7}$ or $\dfrac{7}{8}$ → $\dfrac{6}{7} \times \dfrac{8}{8} = \dfrac{48}{56}$ or $\dfrac{7}{8} \times \dfrac{7}{7} = \dfrac{49}{56}$ → $\dfrac{7}{8}$ is larger. (III) $\dfrac{\cancel{9}}{\cancel{12}} \rightarrow \dfrac{3}{4}$ or $\dfrac{5}{9}$ → $\dfrac{3}{4} \times \dfrac{9}{9} = \dfrac{27}{36}$ or $\dfrac{5}{9} \times \dfrac{4}{4} = \dfrac{20}{36}$ → $\dfrac{5}{9}$ is larger. (IV) $\dfrac{\cancel{20}}{\cancel{24}}\rightarrow\dfrac{5}{6}$ or $\dfrac{11}{12}$ → $\dfrac{5}{6} \times \dfrac{2}{2} = \dfrac{10}{12}$ or $\dfrac{11}{12}$ → $\dfrac{11}{12}$ is larger. (V) $\dfrac{5}{8}$ or $\dfrac{13}{16}$ → $\dfrac{5}{8} \times \dfrac{2}{2} = \dfrac{10}{16}$ or $\dfrac{3}{5} \times \dfrac{3}{3} = \dfrac{13}{16}$ → $\dfrac{13}{16}$ is larger. (VI) $\dfrac{3}{4}$ or $\dfrac{5}{9}$ → $\dfrac{3}{4} \times \dfrac{9}{9} = \dfrac{27}{36}$ or $\dfrac{5}{9} \times \dfrac{4}{4} = \dfrac{20}{36}$ → $\dfrac{3}{4}$ is larger.

Answer»

To solve, we are going to MULTIPLY 1 to the FRACTIONS. 1 is a number having the same NUMERATOR and denominator.

(I) $\dfrac{2}{3}$ or $\dfrac{3}{5}$

→ $\dfrac{2}{3} \times \dfrac{5}{5} = \dfrac{10}{15}$ or $\dfrac{3}{5} \times \dfrac{3}{3} = \dfrac{9}{15}$

→ $\dfrac{2}{3}$ is LARGER.

(II) $\dfrac{6}{7}$ or $\dfrac{7}{8}$

→ $\dfrac{6}{7} \times \dfrac{8}{8} = \dfrac{48}{56}$ or $\dfrac{7}{8} \times \dfrac{7}{7} = \dfrac{49}{56}$

→ $\dfrac{7}{8}$ is larger.

(III) $\dfrac{\cancel{9}}{\cancel{12}} \rightarrow \dfrac{3}{4}$ or $\dfrac{5}{9}$

→ $\dfrac{3}{4} \times \dfrac{9}{9} = \dfrac{27}{36}$ or $\dfrac{5}{9} \times \dfrac{4}{4} = \dfrac{20}{36}$

→ $\dfrac{5}{9}$ is larger.

(IV) $\dfrac{\cancel{20}}{\cancel{24}}\rightarrow\dfrac{5}{6}$ or $\dfrac{11}{12}$

→ $\dfrac{5}{6} \times \dfrac{2}{2} = \dfrac{10}{12}$ or $\dfrac{11}{12}$

→ $\dfrac{11}{12}$ is larger.

(V) $\dfrac{5}{8}$ or $\dfrac{13}{16}$

→ $\dfrac{5}{8} \times \dfrac{2}{2} = \dfrac{10}{16}$ or $\dfrac{3}{5} \times \dfrac{3}{3} = \dfrac{13}{16}$

→ $\dfrac{13}{16}$ is larger.

(VI) $\dfrac{3}{4}$ or $\dfrac{5}{9}$

→ $\dfrac{3}{4} \times \dfrac{9}{9} = \dfrac{27}{36}$ or $\dfrac{5}{9} \times \dfrac{4}{4} = \dfrac{20}{36}$

→ $\dfrac{3}{4}$ is larger.

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