Question

Find the missing number
6/7 = 42/

11/13 = /143

Answer 1

Step-by-step explanation:

$\frac{6}{7} = \frac{42}{?}$

$\frac{6 \times 7}{7 \times 7} = \frac{42}{49}$

Answer 2

$\huge \underline{ \underline{ \bf \purple{Case\: 1 :}}}$

$\longrightarrow \: \sf \frac{6}{7} = \frac{42}{x} \\ \\ \longrightarrow \: \sf6x = 42 \times 7 \\ \\\longrightarrow \: \sf6x = 294 \\ \\\longrightarrow \: \sf x = \frac{294}{6} \\ \\\longrightarrow \: \sf x = 49$

$\huge \underline{ \underline{ \bf \purple{Case\: 2:}}}$

$\longrightarrow \: \sf \frac{11}{13} = \frac{x}{143} \\ \\ \longrightarrow \: \sf13x = 143 \times 11\\ \\\longrightarrow \: \sf13x = 1573 \\ \\\longrightarrow \: \sf x = \frac{1573}{13} \\ \\\longrightarrow \: \sf x = 121$