1 1/15+3 3/10-2 4/5 how do you solve this problem?
start by changing them to improper fractor and then find a common denominator.
5 1/3+ 2 1/4+ 3 1/2=.
i need help wth improper fractions
To solve the problem 1 1/15 + 3 3/10 - 2 4/5, we need to perform addition and subtraction of fractions. Here are the step-by-step instructions:
Step 1: Simplify the mixed numbers (whole number + fraction) if necessary.
- 1 1/15 can be simplified as (15 + 1)/15 = 16/15.
- 3 3/10 can be simplified as (30 + 3)/10 = 33/10.
- 2 4/5 can be simplified as (5 + 4)/5 = 9/5.
Step 2: Find the common denominator. To add or subtract fractions, we need a common denominator.
- In this case, the common denominator is 15*10*5 = 750.
Step 3: Convert fractions to have the common denominator.
- Multiply the numerator and denominator of 16/15 by 50/50 to get 800/750.
- Multiply the numerator and denominator of 33/10 by 75/75 to get 2475/750.
- Leave 9/5 as it is, since the denominator already has the common denominator.
Step 4: Perform the addition and subtraction operation.
- Add the three fractions: 800/750 + 2475/750 - 9/5.
To add fractions, add the numerators (800 + 2475) and keep the common denominator (750): 3275/750.
- Subtract 9/5 from the sum: 3275/750 - 9/5.
To subtract fractions, subtract the numerators (3275 - 4500) and keep the common denominator (750): -1225/750.
Step 5: Simplify the fraction if necessary.
- The fraction -1225/750 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 25.
Divide both -1225 and 750 by 25 to get -49/30 as the simplified fraction.
Therefore, the solution to 1 1/15 + 3 3/10 - 2 4/5 is -49/30.