ratios/ rates 78 out of 780

Answer 1

To simplify the ratio or rate of 78 out of 780, you divide both numbers by their greatest common divisor (GCD).

1. Find the GCD of 78 and 780. The GCD is 78.
2. Divide both the numerator and the denominator by the GCD:

\[ \frac{78}{780} = \frac{78 \div 78}{780 \div 78} = \frac{1}{10} \]

So, the simplified ratio of 78 out of 780 is 1:10.

Alternatively, if you're expressing it as a percentage:

\[ \frac{78}{780} \times 100 = 10% \]

So, 78 out of 780 is also 10%.