What is 7/2 of 34?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/2 of 34? We'll show you a straightforward method to achieve that.

How to calculate 7/2 of 34?

  1. Multiply the whole number by the numerator of the fraction: 34 × 7 = 238
  2. Divide this result by denominator of the fraction: 238/2 = 119
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 238/2 = 119
    • 2/2 = 1
  4. Which gives: 119/1

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 2 = x 34 (where x represents 7/2 of 34)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 34 = 2 x
  2. Which gives: 238 = 2 x
  3. Divide both sides by 2 to isolate x: 238 2 = 2 x 2
  4. Which gives the result: 238 2 = x (or 119 1 = x )

Thus, 7/2 of 34 is equal to 119/1 (or 119 in its decimal form).