Question

2 1/3×3 1/5-8 4/9:2=

Answer 1

= 7/3 × 16/3 - 76/9 × 1/2

= 7/3 × 16/5 - 38/9

= 112/15 - 38/9

= 149/45 = 3 11/45.

Answer 2

To solve the given expression, we need to follow the order of operations (also known as PEMDAS or BODMAS), which stands for Parentheses/Brackets, Order/Exponents, Division/Multiplication, and Addition/Subtraction.

Let's break down the expression step by step:

Step 1: Convert mixed numbers to improper fractions: 2 1/3 can be written as (2 × 3 + 1) / 3 = 7/3 3 1/5 can be written as (3 × 5 + 1) / 5 = 16/5 8 4/9 can be written as (8 × 9 + 4) / 9 = 76/9

So the expression becomes: (7/3) × (16/5) - (76/9) ÷ 2

Step 2: Perform the division first: (76/9) ÷ 2 = (76/9) × (1/2) = (76 × 1) / (9 × 2) = 76/18 = 38/9

Now the expression becomes: (7/3) × (16/5) - (38/9)

Step 3: Perform the multiplication: (7/3) × (16/5) = (7 × 16) / (3 × 5) = 112/15

Now the expression becomes: 112/15 - 38/9

Step 4: Find a common denominator to combine the fractions: The common denominator of 15 and 9 is 45.

112/15 can be written as (112 × 3) / (15 × 3) = 336/45 38/9 can be written as (38 × 5) / (9 × 5) = 190/45

Now the expression becomes: 336/45 - 190/45

Step 5: Perform the subtraction: 336/45 - 190/45 = (336 - 190) / 45 = 146/45

Therefore, the simplified value of the expression is 146/45.