Question

4/5 of (4/9+2/3) ÷8/3​
Its answer is 7/15 please send me it's solution

Answer 1

Answer:

⭐Hey There ⭐

Here's your answer ⤵

Question:- 4/5 of (4/9 + 2/3) ÷ 2 2/3

Answer↘

⭐Step 1 : Find the Least Common Denominator (LCD) of 4/9 ,2/3

Method 1: By Listing Multiples

List out all multiples of each denominator, and find the first common one.

Multiples of 9 : 9, ...

Multiples of 3 : 3, 6, 9, ...

Therefore, the LCD is 99.

Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

Prime Factors of 9 : 3, 3

Prime Factors of 3 : 3

Therefore, the LCD is 3×3=9

LCD=9

⭐Step 2 : Make the denominators the same as the LCD

4/9+2×3/3×3

⭐Step 3 : Simplify. Denominators are now the same

4\9 +6\9

⭐Step 4 : Join the denominators

4+6/9

⭐Step 5 simplify 5/9 +2/3 to 10/9

4/5×10/9÷2 2/3

⭐Step 6: convert 2 2/3 to improper fraction using the method a b/c= ac+b/c

4/5×10/9÷2×3+2/3

⭐Step 7 : Simplify 2×3 to 6

4/5×10/9÷6+2/3

⭐Step 8: Simplify 6+2 to 8

4/5×10/9÷8/3

⭐Step 9: use the rule a ÷ b/c= a × c/b

4/5×10/9×3/8

⭐Step 10: use the rule a+b × c/d = ac/bd

4×10×3/5×9×8

⭐Step 11 : Simplify 4×10×3 to 120

120/5×9×8

⭐Step 12:  Simplify 5×9×8 to 360

120/360

⭐Step 13 : Simplify 120/360 to 1/3

Final answer 1/3

Decimal Form: 0.333333

⭐Thanks for asking the question !!

Hope it helps you! ヅ

✪ Be Brainly ✪

Step-by-step explanation:

Answer 2

Answer:

$\frac{1}{3}$

Step-by-step explanation:

According to the PEMDAS rule, the computation wrapped in brackets or the parenthesis comes first in the sequence of operation. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and finally addition and subtraction.

$\frac{4}{5} \times\left(\frac{4}{9}+\frac{2}{3}\right) \div \frac{8}{3}$

Follow the PEMDAS order of operations

Calculate within parentheses $\left(\frac{4}{9}+\frac{2}{3}\right): \frac{10}{9}$

$=\frac{4}{5} \times \frac{10}{9} \div \frac{8}{3}$

Multiply and divide (left to right) $\frac{4}{5} \times \frac{10}{9} \div \frac{8}{3}: \frac{1}{3}$

$=\frac{1}{3}$

#SPJ2