A company spent 58% of its annual budget developing a new machine. What fraction of the company’s budget was spent developing the new machine?
58% = 58/100
percent means "per 100"
A company spent 58% of its annual budget developing a new machine. What fraction of the company’s budget was spent developing the new machine?
To find the fraction of the company's budget that was spent developing the new machine, you need to convert the percentage into a fraction.
Step 1: Convert the percentage into decimal form. To do this, divide the percentage by 100.
58 ÷ 100 = 0.58
Step 2: The fractional form of a decimal is written as a fraction with the decimal number as the numerator and a power of 10 as the denominator. In this case, the denominator would be 100 because we are dealing with percentages.
So, the fraction of the company's budget that was spent developing the new machine is 0.58/100.
To simplify the fraction, we can divide both the numerator and the denominator by 2:
0.58 ÷ 2 = 0.29,
100 ÷ 2 = 50
Therefore, the fraction can be simplified to 29/50.
Answer: 29/50 of the company's budget was spent developing the new machine.