Steps in adding fractions. Step 1. Make sure that the denominators are the same. 5/9 + 2/15
* 9 and 15 are the denominators, they are not the same. we need to look for a common number between the two. * 9 x 5 = 45 ; 15 x 3 = 45. 45 is their common number. we can use it as their common denominator.
5/9 must both be multiplied by 5. 5 * 5 = 25 ; 9 * 5 = 45 ; 25/45 2/15 must both be multiplied by 3. 2 * 3 = 6 ; 15 * 3 = 45 ; 6/45
Step 2. Add the numerators and place them above their common denominator 25/45 + 6/45 = (25 + 6)/45 = 31/45
Step 3. Simplify the fraction 31/45 is already the simplified fraction.
Therefore, 5/9 + 2/15 = 31/45
Steps in Subtracting fractions. Step 1. Make sure the denominators are the same. 11/12 - 3/4
* 12 and 4 are not the same, however, 12 is 3 times bigger than 4. Therefore, we can multiply 3/4 by 3. 3*3 / 4*3 = 9/12 Step 2. Subtract the numerators and place them above the common denominator 11/12 - 9/12 = (11-9)/12 = 2/12
Step 3. Simplify the fraction 2/12 can still be simplified. both numbers can be divided by 2.
Cutting her time by 50% means reducing her time by half. Half of 45 seconds is 22.5 seconds. Therefore, to make the team, she must run a lap in 22.5 seconds.
The first step in calculating the mean is to add the numbers. After that you divide by the number of items in the data set. You don’t need to group the numbers to find the mean. Hope this helped!
