Question

How do you solve \[\dfrac{10}{14}=\dfrac{30}{m}\] ?

Answer 1

Hint: From the question given, we have been asked to solve \[\dfrac{10}{14}=\dfrac{30}{m}\].
We can solve the given equation from the question by using cross multiplication. By using the simple transformations and cross multiplication to the given equation, we get the equation simplified and then we can solve the equation very easily. Here, cross multiplication means \[m\]will be multiplied with \[10\] and \[30\] will be multiplied with \[14\].

Complete step by step solution:
From the question given, we have been given that,
\[\Rightarrow \dfrac{10}{14}=\dfrac{30}{m}\]
As we have already discussed earlier, we have to make cross multiplication to the above equation to get it simplified.
Shift \[m\] from the right hand side of the equation to the left-hand side of the equation. By shifting \[m\] from right hand side of the equation to the left-hand side of the equation, we get
\[\Rightarrow \dfrac{10\times m}{14}=30\]
Now, simplify the above equation further. By simplifying the above equation further, we get
\[\dfrac{10m}{14}=30\]
Now, Shift \[14\] from the left hand side of the equation to the right-hand side of the equation. By shifting \[14\] from left hand side of the equation to the right-hand side of the equation, we get
\[\Rightarrow 10m=30\times 14\]
Now, simplify the above equation further. By simplifying the above equation further, we get
\[\Rightarrow 10m=420\]
Shift \[10\] from the left hand side of the equation to the right-hand side of the equation. by shifting \[10\] from left hand side of the equation to the right-hand side of the equation, we get
\[\Rightarrow m=\dfrac{420}{10}\]
By simplifying, we get
\[\Rightarrow m=42\]

Note: Students should be well aware of the cross multiplication and transformations that have to be made to the given question to get the given question simplified very easily. Also, students should be very careful while doing the calculation part.