Improper Fractions & Mixed Numbers Help

Subject Areas

Tools / Misc

bCalc

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scrnGC2: Calc Input

scrnGC3: f(x) Plot Input

scrnGC4: g(x) Plot Input

The inputs above will be hidden when the program finally gets launched. Currently, I am not hiding them even when you close the calculator. The purpose of the inputs is to help in debugging. This allows you to enter simple code on the calculator screen but the program translates the input to javascript math. Give it a try and see if you notice any obvious problems or have suggestions for improvements.

gCalc

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Select precision* of answer:

Select angle mode:

Enter expression to evaluate here:

The answer is shown below:

Enter function to be plotted:

f(x) =

Enter 2nd function, if needed:

g(x) =

Change or reset the x-y scaling below:

x_min =

x_max =

y_min =

y_max =

Accuracy Disclaimer

The javascript math object methods used for this calculator are not accurate for very large or very small numbers. In particular, the trigonometric functions may yield very small answers that should actually be zero or very large answers that should be infinite. This typically occurs at 90° or pi/2 intervals.

DO NOT USE WHERE HIGH PRECISION IS REQUIRED. USE AT YOUR OWN RISK.

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Improper Fractions & Mixed Numbers Help

Improper Fractions and Mixed Numbers

To convert an improper fraction to a mixed number or to convert a mixed number to an improper fraction, one must first understand what an improper fraction is and what a mixed number is.

A fraction with a numerator that is larger than its denominator; such as,

, is an improper fraction.

A number consisting of a whole number and a fraction; such as, 12

, is a mixed number.

Converting Mixed Numbers Into Improper Fractions

To convert a mixed number to an improper fraction, multiply the denominator part of the mixed number times the whole part of the mixed number and add the numerator part of the mixed number to find the numerator of the improper fraction. The denominator of the improper fraction is the same as that of the fraction part of the mixed number. Remember to reduce the resulting fraction if it is not fully reduced.

Example 1: 2 5 • 10 + 2 52

= =

5 5 5

Example 2: 4 8 • 12 + 4 100 25

= = =

8 8 8 2

(Reducing at the end.)

4 1 2 • 12 + 1 25

= = =

12 12

8 2 2 2

(Reducing at the beginning.)

Note, in example 2, we arrived at the same answer (as we should) using two different approaches, however reducing the fraction part as soon as possible results in having to work with smaller numbers which makes it easier to solve.

Converting Improper Fractions Into Mixed Numbers

To convert an improper fraction to a mixed number, divide the numerator of the improper fraction by the denominator of the improper fraction to find the whole part of the mixed number. The remainder resulting from your division becomes the numerator part of the mixed number. The denominator part of the mixed number is the same as the denominator of the improper fraction. Again, remember to reduce the resulting fraction if it is not fully reduced.

Example 3: 17

= + Remainder of 2 =

Example 4: 52

= + Remainder of 4 = =

6 6

(Reducing at the end.)

52 13

= = + Remainder of 1 =

8 2

(Reducing at the start.)

Note, in example 4, we again arrived at the same answer (as we should) using two different approaches, however reducing the fraction part as soon as possible resulted in having to work with smaller numbers which made it easier to solve.