Simplify 1 over 2 of 1 over 4 devide 1 over 3 all over 1 over 6 minus 3 over 4 plus 1 over 2

1/4+1/6+3/4

Simplify the fraction 1 hole num 3 ova 4 minus 2 ova 3 times 3 ova 4 plus 1 hole num 1 ova 2 divide 2 ova 3 minus 1 ova 2

Help me and show sloving

= 1/4+1/6+3/4 =4/6+4/3=8/9

To simplify the given expression, "1/2 ÷ 1/4 ÷ 1/3 ÷ 1/6 - 3/4 + 1/2", we need to follow the order of operations and perform the calculations step by step.

Let's break it down:

Step 1: Simplify the division parts -

Starting from left to right, we first simplify "1/2 ÷ 1/4" by multiplying the numerator by the reciprocal of the denominator:

(1/2) ÷ (1/4) = (1/2) × (4/1) = (1 × 4) / (2 × 1) = 4/2 = 2

Now the expression becomes:

2 ÷ (1/3) ÷ (1/6) - 3/4 + 1/2

Step 2: Simplify the remaining divisions -

To simplify "2 ÷ (1/3)", again we multiply the numerator by the reciprocal of the denominator:

(2) ÷ (1/3) = (2) × (3/1) = (2 × 3) / (1 × 1) = 6/1 = 6

The expression now becomes:

6 ÷ (1/6) - 3/4 + 1/2

Step 3: Simplify the remaining divisions -

To simplify "6 ÷ (1/6)", we multiply the numerator by the reciprocal of the denominator:

(6) ÷ (1/6) = (6) × (6/1) = (6 × 6) / (1 × 1) = 36/1 = 36

The expression now becomes:

36 - 3/4 + 1/2

Step 4: Perform addition and subtraction -

Adding the fractions together, we need to find a common denominator:

36 - 3/4 + 1/2

Since the denominators are 4 and 2, the least common multiple is 4. We convert the fractions to have a denominator of 4:

36 - (3/4) + (1/2) = 36 - (3/4) × (1/1) + (1/2) × (2/2)
= 36 - 3/4 + 2/4
= 36 - 3/4 + 1/2 (after combining the fractions)

Finally, subtracting the fractions:

36 - 3/4 + 1/2 = 36 - 3/4 + 2/4 = 36 - 1/4 = 35 3/4

Therefore, the simplified expression is 35 3/4.

(1/3)(1/2)(1/4) /[(1/6)-(3/4)+1/2)]

= (1/24)/[(4/6) - 3/4)]
= (1/24)/(-2/24)
= -1/2