Question

4 3/5:(1 1/2- 3 1/5) +1 3/8

Answer 1

4 3/5:(11/2-3 1/5)+1 3/8=135.857143

Answer 2

To solve the given expression, we first need to convert all the mixed numbers into improper fractions. Then we can perform the operations according to the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

1. Convert all mixed numbers to improper fractions: 4 3/5 = (45 + 3)/5 = 23/5 1 1/2 = (12 + 1)/2 = 3/2 3 1/5 = (35 + 1)/5 = 16/5 1 3/8 = (18 + 3)/8 = 11/8

2. Perform the subtraction in the parentheses: 1 1/2 - 3 1/5 = 3/2 - 16/5

To subtract these fractions, we need a common denominator, which is 10. So, 3/2 = 15/10 16/5 = 32/10

Now, perform the subtraction: 15/10 - 32/10 = -17/10

3. Substitute the values back into the original expression: 4 3/5 - (-17/10) + 1 3/8

4 3/5 - (-17/10) + 1 3/8 can be rewritten as 23/5 + 17/10 + 11/8

4. Find a common denominator to add the fractions: The common denominator for 5, 10, and 8 is 40.

Now convert all the fractions to have a common denominator:

23/5 = 184/40 17/10 = 34/40 11/8 = 55/40

5. Add the fractions: 184/40 + 34/40 + 55/40 = (184 + 34 + 55)/40 = 273/40

So, 4 3/5 - (1 1/2 - 3 1/5) + 1 3/8 = 273/40.

If you need this in a mixed number format, you can simplify the fraction 273/40 to a mixed number.