(1/4 + 1/3 = 1/x)
\( \color{Black}{\Rightarrow \large {1 \over 4} + {1 \over 3} = {1 \over x} }\) \( \color{Black}{\Rightarrow \large {3 \over 12} + {4 \over 12} = {1 \over x} }\) Does this help you?
7/12?
yeah, now cross multiply.
cross multiply what?
\( \color{Black}{\Rightarrow \Large {a \over b} = {x \over y} \Longrightarrow ax = by }\)
so 7/12 x 1/x = 7x/12?
7x = 12
you have \[ \frac{7}{12}= \frac{1}{x} \] to find x you could do a few things. 1) flip both fractions 2) multiply both fractions by 12x to get 7x=12, then divide both sides by 7 3) cross multiply to get 7x= 12, then divide both sides by 7 4) re-write the left side as \[ \frac{1}{\frac{12}{7}} \] and match x with the bottom: \[ \frac{1}{\frac{12}{7}} = \frac{1}{x}\]
Thanks guys
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