What is 6/10 of 43?

How to calculate 6/10 of 43?

1. Multiply the whole number by the numerator of the fraction: 43 × 6 = 258
2. Divide this result by denominator of the fraction: 258/10 = 25.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 258/2 = 129
   • 10/2 = 5
4. Which gives: 129/5

Since 129/5 is an improper fraction, the result could also be expressed as a mixed number: 25 4/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 43, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{43}$ (where x represents 6/10 of 43)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 43=10x$
2. Which gives: $258=10x$
3. Divide both sides by 10 to isolate x: $\frac{258}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{258}{10}=x$ (or $\frac{129}{5}=x$)

Thus, 6/10 of 43 is equal to 129/5 (or 25.8 in its decimal form).