What is four fifths plus eight ninths

1 answer:

6 0

4/5 + 8/9. First we have to find a common denominator for $\frac{4}{5}$ and $\frac{8}{9}$ . $\\ \frac{4*9}{5*9}= \frac{36}{45} \ and \ \frac{8*5}{9*5}= \frac{40}{45} \\$ Now we are going to add: $\frac{36}{45}+ \frac{40}{45}= \frac{76}{45}$ Make $\frac{76}{45}$ a mixed number: $\frac{76}{45}=1 \frac{31}{45}$ So the answer is $\boxed{1 \frac{31}{45}}$

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The form of the sum of cubes identity is a³ + b³ = (a + b)(a² - ab + b²) ⇒ A

Step-by-step explanation:

To find the form of the sum of cubes identity ⇒ x³ + y³

find the cube root of each one and add them in a small bracket ⇒ (x + y)
square the first term in the small bracket and put it as the 1st term in a big bracket ⇒ (x² ....)
put (-) after the 1st term ⇒ (x² - .....)
multiply the 1st and 2nd term in the small bracket and put the product as the 2nd term in the big bracket ⇒ (x² - xy .....)
square the 2nd term in the small bracket and add it to the terms of the big bracket ⇒ (x² - xy + y²)

Then the form of the sum of cubes identity is x³ + y³ = (x + y)(x² - xy + y²)

∵ a³ + b³ is a sum of two cubes

→ By using the same steps above

∵ $\sqrt[3]{a^{3}}$ = a and $\sqrt[3]{b^{3}}$ = b