How do you solve #10/14=30/m#?

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Answer 1 · 2017-03-25T15:16:12

#m=42#

We want to get rid of those fractions, so we will multiply the equation by denominators:
#10/14=30/m# ...#*14m#

We will get:
#(10*14m)/14=(30*14m)/m#

#(10*cancel14m)/cancel14=(30*14cancelm)/cancelm# #larr#cancel

#10m=30*14 larr#divide by 10

#m=3*14=42#

Answer 2 · 2017-03-25T15:19:00

#"Answer : " m=42#

#"if "a/b=c/d" than "a*d=b*c#

#10/14=30/m#

#10*m=14*30#

#"let us divide both sides of equation by 10"#

#(cancel(10)*m)/(cancel(10))=(14*3cancel(0))/(1cancel(0))#

#m=14*3#

#m=42#

Answer 3 · 2017-03-25T15:46:19

#m=42#

Given:

#10/14 = 30/m#

We can divide both sides of the equation by #10# to get:

#1/14 = 3/m#

Then take the reciprocal of both sides to get:

#14 = m/3#

Multiply both sides by #3# to get:

#42 = m#