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What is the rule for reducing fractions?

To reduce a fraction, find a number by which both the numerator and denominator can be divided. The number can be divided by 2 and 3 1980 1980 can be divided evenly by 2 and 3; therefore, it is divisible by 6. Always try dividing by numerator. Example: In 51 17 , both numerator and denominator can be divided by 17.

How do you solve fractions examples?

For example, to solve 1/2 ÷ 1/6, flip 1/6 upside down so it becomes 6/1. Then just multiply 1 x 6 to find the numerator (which is 6) and 2 x 1 to find the denominator (which is 2). So, the answer is 6/2 which is equal to 3.

What are the two methods to simplify complex fractions?

To simplify a complex fraction means to write the expression without a fraction in its numerator and/or its denominator. Method 1: Simplify complex fractions by using division (from the fraction bar). Method 2: Simplify complex fractions by multiplying by a common denominator.

What are the three methods used in simplifying complex fractions?

How to Simplify Complex Fractions?

  • Generate a single fraction both in the denominator and the numerator.
  • Employ the division rule by multiplying the top of the fraction by the reciprocal of the bottom.
  • Simplify the fraction its lowest terms possible.

How do you simplify complex equations?

How To: Given a complex rational expression, simplify it.

  1. Combine the expressions in the numerator into a single rational expression by adding or subtracting.
  2. Combine the expressions in the denominator into a single rational expression by adding or subtracting.
  3. Rewrite as the numerator divided by the denominator.

How do you simplify complex fractions on a calculator?

How to simplify complex fractions

  1. Convert mixed numbers to improper fractions.
  2. Reduce all fractions when possible.
  3. Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
  4. Multiply both the numerator and the denominator of the complex fraction by the LCD.

How do you solve a work rate question?

Solution to Problem 1:

  1. The work done by Linda alone is given by. t × (1 / 2)
  2. When the two work together, their work will be added. Hence. t × (1 / 1.5) + t * (1 / 2) = 1.
  3. Multiply all terms by 6. 6 (t × (1 / 1.5) + t × (1 / 2) ) = 6.
  4. and simplify. 4 t + 3 t = 6.
  5. Solve for t. t = 6 / 7 hours = 51.5 minutes.

How do you solve rate of work problems?

To solve a work word problem, multiply the hourly rate of the two people working together by the time spent working to get the total amount of time spent on the job.

How do you solve time and work problems?

Time & Work – Solved Examples

  1. Answer – A. Explanation.
  2. Answer – C. Explanation.
  3. Answer – D. Explanation (A+B)’s 5 days work = 5(1/25+1/20) = (5*9/100) = 9/20 Remaining work = (1-9/20) = 11/20 1/20 work is finished by B in 1 day 11/20 work is finished by B in (1*20*11/20) = 11 days.
  4. Answer – A. Explanation.
  5. Answer – B.
  6. Answer – B.

Can you add and subtract rates?

You can’t add or subtract times. So, when you’re looking to find a combined amount of goods produced, make sure you’re combining the rates, not the times.