Category Archives: math.

How to divide fractions

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Division of fractions is one of the next level operations that are typically learned in primary mathematics. It sounds a little bit difficult but really, learning how to divide fractions can be done in as little as three steps.

Dividing fraction by fraction

1

÷

1

5

4

1. Turn the divisor (the second fraction) into its reciprocal or upside down.

1

——->

4

4

1

2. Multiply the dividend (first fraction) by the reciprocal.

1

X

4

=

4

5

1

5

3. Simplify the answer if necessary.  

Dividing fraction by a whole number

Dividing a fraction by a whole number appears to be trickier because the numbers look different in form. Here is how to do it:

  1. Turn the whole number into a fraction by putting 1 as its denominator (the one at the bottom of the fraction)
  2. Divide using the three steps above (flip, multiply,simplify)

Division is the inverse of multiplication that is why these basic steps work well with simple fractions and whole numbers. There are added steps to take for mixed fractions (such as turning the mixed numbers into improper fractions) first but the basic procedures remain the same after.

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How to find the area of a circle

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If you want to know how to find the area of a circle firstly you need to know the formula of area of a circle to find out its area which is very simple i.e. area of a circle = Pi*r2 where Pi is a constant and r represents the radius of a circle. The procedure is described below.

Apparatus:

  • Ruler or anything that measures
  • A calculator

Procedure:

  • First you have to measure the radius of a circle using a scale. For this you have to point out its centre and measure the distance from centre to the periphery of the circle.
  • If you know the value of Pi then good but for your information Pi=3.14 approximately. Then you have to use the calculator to put the values to the formula where you have to multiply the value of pi with the square value of r which is radius of the circle.
  • Then pressing the digits into calculator you can easily get your exact radius of a circle.

Example 1

Let’s say that R=2.2 m

We know, Pi=3.14

Therefore, Area of a circle=Pi*R2

=3.14*(2.2m) 2

=15.19 m2

Example 2

Let’s say that R=4m

Pi=3.14

Therefore, Area of a circle=Pi*R2

=3.14*(4m) 2

=50.24 m2, here m is unit of length.

Now you might not have any confusion of how to find the area of a circle so proceed to your study and best of luck.

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How to calculate GPA

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Grade point average or GPA indicates how well a student is doing at a certain educational institution. Just as the educational system varies across the globe, the method on how to calculate grade point average varies from country to country, school to school. Luckily, the basic underlying premises are the same so the steps are somehow similar.

How to calculate GPA - By average:

1. Identify the grading scale.

The most commonly used is a four pointer scale such as A=4, B=3, C=2, D=1 and F=0.

In cases of the + and – symbols, this means that the precise points from the grade book has been factored in.

2. Collect the letter grades from different subject areas.

3. On a sheet of paper jot down the correct letter grade and point value for each using the four-point scale.

Approximately use add a 0.33 for a grade that has + and subtract it from a grade that has -. For instance, an A+ would be 4.33 while an A- would be 3.67.

4. Add up the values.

5. Take the sum and divide it by the number of classes.

6. The quotient is the GPA.

How to calculate GPA - By credits:

In some cases, some subjects get more credit than others.

1. Identify the grading scale.

The most commonly used is a four pointer scale such as A=4, B=3, C=2, D=1 and F=0.

In cases of the + and – symbols, this means that the precise points from the grade book has been factored in.

2. Collect the letter grades from different subject areas as well as the credit hours.

3. Assign the correct scale value for every letter grade like in step 3 above and write them down.

4. Multiply the credits with the corresponding scale value.

5. Add the number of credits.

6. Add the number of grade values.

7. Divide the grade values by the credits and the quotient is the GPA.

It is important to ask the school administration for the correct grading system and number of decimal places they use before going ahead and computing. Also consider that some institutions make use of sessional GPA and others make use of cumulative GPA.

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