Use a Giant One to change each of the following fractions to a number over 100. Then write each portion as a percent.
a. 85/200
b. 17/15
1/10+3/5=
To change a fraction to a number over 100, you need to find an equivalent fraction where the denominator is 100. Here's how you can do it:
a. 85/200:
To change 85/200 to a number over 100, you need to find an equivalent fraction with a denominator of 100. To do this, you can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 85 and 200 is 5.
Divide both numbers by 5:
85 ÷ 5 = 17
200 ÷ 5 = 40
So, the equivalent fraction of 85/200 with a denominator of 100 is 17/40. To express this as a percent, divide the numerator (17) by the denominator (40) and multiply by 100.
17/40 ≈ 0.425
0.425 × 100 = 42.5%
Therefore, 85/200 can be written as 42.5% when expressed as a percent.
b. 17/15:
To change 17/15 to a number over 100, you need to find an equivalent fraction with a denominator of 100. To do this, multiply both the numerator and the denominator by the same number. In this case, we need to find a number that, when multiplied by 15, will result in 100. That number is 6.67 (rounded to two decimal places).
Multiply both numbers by 6.67:
17 × 6.67 ≈ 113.39
15 × 6.67 ≈ 100.05
So, the equivalent fraction of 17/15 with a denominator of 100 is approximately 113.39/100.05. To express this as a percent, divide the numerator (113.39) by the denominator (100.05) and multiply by 100.
113.39/100.05 ≈ 1.132
1.132 × 100 = 113.2%
Therefore, 17/15 can be written as 113.2% when expressed as a percent.