Question

2 1/2 ÷(1- 3/5+ 3 3/4)​

Answer 1

2 1/2 ÷(1- 3/5+ 3 3/4) =5/2÷(1-3/5+15/4)= 5/2×83/20= 5× 10/83 = 50/83.

Answer 2

To solve this expression, follow these steps:

Step 1: Convert all mixed numbers to improper fractions. Step 2: Simplify the expression inside the parentheses. Step 3: Perform the division.

Let's start with the first step:

Step 1: 2 1/2 as an improper fraction is 5/2.

Now let's simplify the expression inside the parentheses:

Step 2: 1 - 3/5 + 3 3/4

To add and subtract fractions, we need a common denominator. The common denominator for 5 and 4 is 20. So, we'll rewrite these fractions with a denominator of 20:

1 = 20/20 3/5 = 12/20 3 3/4 = (4 * 3) + 3 = 12/4 + 3 = 12/4 + 12/4 = 24/4 = 6

Now, rewrite the expression:

20/20 - 12/20 + 6

Now, add and subtract the fractions:

(20/20 - 12/20) + 6 = 8/20 + 6

Step 3: Now, we can perform the division:

(5/2) ÷ (8/20 + 6)

To divide by a fraction, you can multiply by its reciprocal (flipping it):

(5/2) * (20/8 + 6)

Now, calculate the sum inside the parentheses:

20/8 + 6 = 5/2 + 6

Now, multiply:

(5/2) * (5/2 + 6)

To multiply fractions, simply multiply the numerators and denominators:

(5/2) * (5/2 + 6) = (5/2) * (5/2 + 12/2) = (5/2) * (17/2)

Now, multiply the numerators and denominators:

(5 * 17) / (2 * 2) = 85/4

So, 2 1/2 ÷ (1 - 3/5 + 3 3/4) equals 85/4 or 21.25 when expressed as a decimal.