Question

4/7:x=8/9:1 find the missing fraction
​answer fast.

Answer 1

Answer:

9/14

Step-by-step explanation:

4/7:x = 8/9:1

4/7/x = 8/9/1

4/7 × 1/x = 8/9

x = 4/7 × 9/8

x = 1/7 × 9/2

x = 9/ 14

Answer 2

Answer:

$\large\underline{ \underline{ \red {your \: \: \: answer \implies \frac{14}{9} }}}$

Step-by-step explanation:

$\bf\blue{ \frac{4}{7 : x} = \frac{8}{9 : 1} } \\ \\ \bf\purple{ \implies \: \frac{4}{ \frac{7}{x} } = \frac{8}{ \frac{9}{1} } } \\ \\ \bf\pink{ \implies \: \frac{4}{1} \times \frac{x}{7} = \frac{8}{1} \times \frac{1}{9} } \\ \\ \bf\red{ \implies \: \frac{4x}{7} = \frac{8}{9} } \\ \\ \bf\orange{ \implies \: 4x \times 9 = 8 \times 7} \\ \\ \bf\green{ \implies \: 36x = 56} \\ \\ \bf\blue{ \implies \: x = \frac{56}{36} } \\ \\ \bf\pink{ \implies \: x = \frac{14}{9} }$

$\large\boxed{ \fcolorbox{lime}{blue}{hope \: it \: help \: you}}$