What is 7/6 of 69?

How to calculate 7/6 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 7 = 483
2. Divide this result by denominator of the fraction: 483/6 = 80.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 483/3 = 161
   • 6/3 = 2
4. Which gives: 161/2

Since 161/2 is an improper fraction, the result could also be expressed as a mixed number: 80 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{69}$ (where x represents 7/6 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 69=6x$
2. Which gives: $483=6x$
3. Divide both sides by 6 to isolate x: $\frac{483}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{483}{6}=x$ (or $\frac{161}{2}=x$)

Thus, 7/6 of 69 is equal to 161/2 (or 80.5 in its decimal form).