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3 years ago

hello! i struggle with math A LOT so if u guys can help me with these questions with the work i would appreciate a lot

Mathematics

2 answers:

Scrat [10]3 years ago

7 0

Answer:

Exercise #1 = ³/₄

Exercise #3 = ¹/₂

Exercise #5 = 1 ¹/₉

Exercise #7 = ²/₅

Exercise #9 = ¹¹/₁₅

Step-by-step explanation:

When adding or subtracting fractions, you always have to find a common denominator first.

Exercise #1

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

Exercise #3

-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

Exercise #5

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

Exercise #7

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

Exercise #9

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!~

elena-s [515]3 years ago

4 0

Pretty sure 1 is 6/8

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T

Paul [167]

The distance between two points on the plane is given by the formula below

$\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}$

Therefore, in our case,

$A=(-1,-3),B=(5,2)$

Thus,

$\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}$

Therefore, the answer is sqrt(61)

In general,