4/5 of (4/9 + 2/3) ÷ 2 2/3
Answers
⭐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 ✪
Answer:
4/5 of (4/9 + 2/3) ÷ 2 2/3