Question

4/5:2 2/3-3:3/4 / 1/6-1/15​=...

Answer 1

4/5:2=2/5

2/3-3/4=?

1/6-1/15=1/10

Answer 2

To solve this expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's apply these steps to the given expression:

Step 1: No parentheses or brackets in the expression. Step 2: No exponents or orders in the expression. Step 3: Solve the multiplication and division from left to right.

Expression: 4/5 ÷ 2 2/3 - 3 ÷ 3/4 ÷ (1/6 - 1/15)

1. Divide 4/5 by 2: 4/5 ÷ 2 = 4/5 × 1/2 = 4/10 = 2/5

2. Subtract 2 2/3: Convert 2 2/3 to an improper fraction: (2 × 3 + 2) / 3 = 8/3 2/5 - 8/3

3. To subtract these fractions, we need a common denominator, which is 15 (the least common multiple of 5 and 3). Rewrite 2/5 with a denominator of 15: 2/5 × 3/3 = 6/15 Rewrite 8/3 with a denominator of 15: 8/3 × 5/5 = 40/15

4. Perform the subtraction: 6/15 - 40/15 = -34/15

Now, let's continue solving the expression:

5. Divide 3 by 3/4: 3 ÷ 3/4 = 3 × 4/3 = 4

6. Divide 1/6 by 1/15: 1/6 ÷ 1/15 = 1/6 × 15 = 15/6 = 2 1/2

Now, we have the updated expression: -34/15 - 4 ÷ 2 1/2.

7. Divide 4 by 2 1/2: Convert 2 1/2 to an improper fraction: (2 × 2 + 1) / 2 = 5/2 4 ÷ 5/2

8. To divide by a fraction, we multiply by its reciprocal: 4 ÷ 5/2 = 4 × 2/5 = 8/5

Finally, we have the expression: -34/15 - 8/5.

Step 4: Perform the subtraction.

To subtract fractions, we need a common denominator, which is 15 (the least common multiple of 15 and 5).

Rewrite -8/5 with a denominator of 15: -8/5 × 3/3 = -24/15

Now, perform the subtraction:

-34/15 - 24/15 = -58/15

So, the simplified result of the expression is -58/15.