Add with Unlike Denominators Quick Check
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Question
Add the following fractions: 1/3 + 7/10 (1 point)
Responses
31/30
8/13
4/5
8/30
To add fractions with unlike denominators, you need to find a common denominator. In this case, the common denominator is 30.
To convert 1/3 to have a denominator of 30, multiply the numerator and denominator by 10: (1/3) * (10/10) = 10/30.
To convert 7/10 to have a denominator of 30, multiply the numerator and denominator by 3: (7/10) * (3/3) = 21/30.
Now that both fractions have the same denominator, you can add them together: 10/30 + 21/30 = 31/30.
Therefore, the correct response is 31/30.
To add fractions with unlike denominators, you need to find a common denominator. In this case, the common denominator for 1/3 and 7/10 is 30.
To find the sum, you need to change the fractions so that they have the same denominator. Let's start by changing 1/3:
1/3 * 10/10 = 10/30
Now, let's change 7/10:
7/10 * 3/3 = 21/30
Now that both fractions have the same denominator, you can add them:
10/30 + 21/30 = 31/30
Therefore, the correct answer is 31/30.
To add fractions with unlike denominators, you need to find a common denominator. In this case, the denominators are 3 and 10. To find a common denominator, you can either find the least common multiple (LCM) of the two denominators or simply multiply them together.
The LCM of 3 and 10 is 30. So, you need to convert both fractions so that they have a denominator of 30. To do this, you can multiply the numerator and denominator of the first fraction by 10, and the numerator and denominator of the second fraction by 3:
1/3 * 10/10 = 10/30
7/10 * 3/3 = 21/30
Now that both fractions have a denominator of 30, you can add them:
10/30 + 21/30 = 31/30
Therefore, the correct answer is 31/30.