Answer:
<u>Exercise #1</u> = ³/₄
<u>Exercise #3</u> = ¹/₂
<u>Exercise #5</u> = 1 ¹/₉
<u>Exercise #7</u> = ²/₅
<u>Exercise #9</u> = ¹¹/₁₅
Step-by-step explanation:
When adding or subtracting fractions, you always have to find a common denominator first.
<u>Exercise #1</u>
⁵/₈ + ¹/₈
In this exercise, we already have the common denominator 8. Next, add the numerators together.
⁵/₈ + ¹/₈ = ⁶/₈
From here, we can simplify the fraction by dividing both the numerator and the denominator by 2.
6 ÷ 2 = 3
8 ÷ 2 = 4
This is as simplified our answer can get since there are no more common factors between the numerator (3) and the denominator (4).
⁶/₈ = ³/₄
<u>Exercise #3</u>
-¹/₄ + ³/₄
In this exercise, we already have the common denominator 4. Next, add the numerators together. (In this exercise, the numerators are -1 and 3. When adding a negative number, you can think of the equation as: 3 - 1 = 2)
-¹/₄ + ³/₄ = ²/₄
From here, we can simplify the fraction by dividing both the numerator and the denominator by 2.
2 ÷ 2 = 1
4 ÷ 2 = 2
This is as simplified our answer can get since there are no more common factors between the numerator (1) and the denominator (2).
²/₄ = ¹/₂
<u>Exercise #5</u>
⁵/₉ + ⁵/₉
In this exercise, we already have the common denominator 4. Next, add the numerators together.
⁵/₉ + ⁵/₉ = ¹⁰/₉
From here, we can simplify the fraction by turning it into a mixed number. To do this, we can subtract 9 from the numerator because 9 is the denominator and ⁹/₉ = 1. From this, we can determine that our simplified answer is:
¹⁰/₉ = 1 ¹/₉
<u>Exercise #7</u>
³/₁₀ + ¹/₁₀
In this exercise, we already have the common denominator 10. Next, add the numerators together.
³/₁₀ + ¹/₁₀ = ⁴/₁₀
From here, we can simplify the fraction by dividing both the numerator and the denominator by 2.
4 ÷ 2 = 2
10 ÷ 2 = 5
This is as simplified our answer can get since there are no more common factors between the numerator (2) and the denominator (5).
⁴/₁₀ = ²/₅
<u>Exercise #9</u>
⁷/₁₅ + ⁴/₁₅
In this exercise, we already have the common denominator 15. Next, add the numerators together.
⁷/₁₅ + ⁴/₁₅ = ¹¹/₁₅
This is as simplified our answer can get since there are no more common factors between the numerator (11) and the denominator (15).
~Hope this helps!~
