Question

Simplify the following \[35:60\].

Answer 1

Hint: To simplify \[35:60\], the common multiples are taken from both the numbers and divide that respective number from the given number and the simplified value can be obtained.
The common multiples are taken from both the numbers.
In general, Least common multiple (LCM) of the numbers 35 and 60

Complete step-by-step answer:
Ratio: The relative size of two quantities expressed as the quotient of one divided by the other; the ratio of a to b is written as a:b or a/b. Proportion: An equality between two ratios.
First step to find the LCM of the numbers 35 and 60.
The common multiple 5 is divided from the numbers.
The result is obtained.
\[\begin{align}
  & 35:60 \\
 & \text{LCM of 35 and 60 is 5,then} \\
 & \dfrac{5\cdot 7}{5\cdot 12} \\
 & \dfrac{7}{12} \\
 & 7:12 \\
\end{align}\]
Thus, the simplest \[35:60\] is \[7:12\].

Note: The least common multiple is also known as lowest common multiple (LCM) or least common divisor (LCD). The least common multiple of any two integers a and b, is the smallest integer that is divisible by both a and b.