1.
Sumar 2/3 - 3/5 + 2/15
Correct Answer
A. 1/5
Explanation
The given expression represents the sum of three fractions. To add fractions, we need to find a common denominator. In this case, the common denominator is 15. So, we convert each fraction to have a denominator of 15. The first fraction becomes 10/15, the second fraction becomes 9/15, and the third fraction becomes 2/15. Then, we add these fractions together. 10/15 + 9/15 + 2/15 = 21/15. Simplifying this fraction, we get 7/5, which is equivalent to 1/5. Therefore, the correct answer is 1/5.
2.
2/6 + 3/9 - 9/27
Correct Answer
A. 1/3
Explanation
The given expression involves adding and subtracting fractions. To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 9. So, we rewrite the fractions with the common denominator: 4/9 + 1/3 - 1/3. The denominators are now the same, so we can simply add the numerators: 4 + 1 - 1 = 4. The denominator remains the same, so the result is 4/9.
3.
-1/12 + 5/6 - 3/24Which one do you like?
Correct Answer
A. 5/8
Explanation
The given expression involves adding and subtracting fractions. To simplify the expression, we need to find a common denominator for all the fractions. The common denominator for 12, 6, and 24 is 24. Converting each fraction to have a denominator of 24, we get -2/24 + 20/24 - 3/24. Combining the numerators, we have 15/24, which can be simplified to 5/8. Therefore, the correct answer is 5/8.
4.
3/7 - 4/21 + 25/42
Correct Answer
D. 5/6
Explanation
The given expression involves adding and subtracting fractions. To solve it, we need to find a common denominator for the fractions involved. In this case, the common denominator is 42. When we convert each fraction to have a denominator of 42, we get 18/42 - 8/42 + 25/42. Simplifying this expression gives us 35/42, which can be further simplified to 5/6. Therefore, the correct answer is 5/6.
5.
3/8 - 5/16 + 3/2 - 5/4
Correct Answer
B. 5/16
Explanation
The given expression involves adding and subtracting fractions. To solve it, we need to find a common denominator for all the fractions involved. The common denominator in this case is 16. By converting all the fractions to have a denominator of 16, we get (6/16) - (5/16) + (24/16) - (20/16). Simplifying this expression gives us 5/16. Therefore, the correct answer is 5/16.