Add the following fractions:
2/3 + 3/8
(1 point)
To add these fractions, we need to first find a common denominator. The smallest number that both 3 and 8 can divide into is 24.
So, we need to rewrite 2/3 and 3/8 with a denominator of 24.
To rewrite 2/3 with a denominator of 24, we multiply the numerator and denominator by 8:
2/3 * 8/8 = 16/24
To rewrite 3/8 with a denominator of 24, we multiply the numerator and denominator by 3:
3/8 * 3/3 = 9/24
Now, we have:
16/24 + 9/24
To add these fractions, we simply add the numerators and keep the denominator the same:
16/24 + 9/24 = 25/24
So, 2/3 + 3/8 = 25/24.
To add these fractions, you first need to find a common denominator. The common denominator for 3 and 8 is 24.
Now, you need to adjust the fractions so that they have the same denominator.
For 2/3, multiply the numerator and denominator by 8:
2/3 * 8/8 = 16/24
For 3/8, multiply the numerator and denominator by 3:
3/8 * 3/3 = 9/24
Now that both fractions have the same denominator, you can add them together:
16/24 + 9/24 = 25/24
So, the sum of 2/3 and 3/8 is 25/24.
To add fractions, you need to find a common denominator.
The common denominator is the smallest multiple that both denominators can divide into evenly. In this case, the denominators are 3 and 8.
To find the common denominator, you can either list out the multiples of each denominator until you find a common one, or you can find the least common multiple (LCM) of the denominators.
For simplicity, let's find the least common multiple (LCM) of 3 and 8.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 8 are: 8, 16, 24, 32, ...
As you can see, the first common multiple is 24. Therefore, the common denominator for 2/3 and 3/8 is 24.
Now that we have a common denominator, we can add the fractions.
To do this, multiply the numerator and denominator of each fraction by the same value that will transform the current denominator into the common denominator.
For the first fraction, multiply the numerator and denominator by 8 so that the denominator becomes 24:
2/3 * 8/8 = 16/24
For the second fraction, multiply the numerator and denominator by 3 so that the denominator becomes 24:
3/8 * 3/3 = 9/24
Now that both fractions have the same denominator, you can simply add their numerators to get the sum:
16/24 + 9/24 = 25/24
So the sum of 2/3 + 3/8 is 25/24.