Fractions

Scott Solomon


Fraction 


Fraction
Fraction refers to a part of a whole.

You will encounter fractions when asked to make calculations with the TI-30XS MultiView Scientific Calculator using the on-screen mathematics formula sheet.

Your answers will be produced in fraction form.

When asked to convert an answer from a fraction to decimal form, use the toggle button toggle .


Proper Fraction
Proper Fraction refers to a fraction in which the top number (numerator) is smaller than the bottom number (denominator).

Example
One Half
\bf\displaystyle\frac{1}{2}

fraction

fraction is the proper fraction command.

A calculation involving a proper fraction produces an answer in fraction form.


Improper Fraction
Improper Fraction refers to a fraction in which the top number (numerator) is larger than the bottom number (denominator).

Example
Three Halves
\bf\displaystyle\frac{3}{2}

improperfraction

fraction is the improper fraction command.

A calculation involving an improper fraction produces an answer in fraction form.


Mixed Fraction
Mixed Fraction (also known as Mixed Number) refers to a combination of a whole number and a fraction.

Example
One and One Half
\bf\displaystyle1\frac{1}{2}

mixednumber

2nd mixed number is the mixed number command.
2nd activates mixed number above fraction .

A calculation involving a mixed fraction produces an answer in fraction form.


Question
A small rectangular piece of cloth measures \bf\displaystyle\frac{1}{2} inch long by \bf\displaystyle\frac{1}{4} inch wide.  What is its area?

Answer
\bf\displaystyle\frac{1}{8} square inch

Answer Process
See Rectangle.
Area = length × width
A = lw
A = \bf\displaystyle\frac{1}{2} × \bf\displaystyle\frac{1}{4} = \bf\displaystyle\frac{1}{8}

Input Display Comment
clear blinker clears screen
fraction 1 down 2 right × fraction 1 down 4 right \bf\displaystyle\frac{1}{2}*\bf\displaystyle\frac{1}{4} A = lw
enter \bf\displaystyle\frac{1}{8} Answer
Proper Fraction


Question
A slightly larger rectangular piece of cloth measures \bf\displaystyle\frac{11}{4} inch long by \bf\displaystyle\frac{3}{4} inch wide.  What is its area?

Answer
\bf\displaystyle\frac{33}{16} square inches

Answer Process
See Rectangle.
Area = length × width
A = lw
A = \bf\displaystyle\frac{11}{4} × \bf\displaystyle\frac{3}{4} = \bf\displaystyle\frac{33}{16}

Input Display Comment
clear blinker clears screen
fraction 11 down 4 right × fraction 3 down 4 right \bf\displaystyle\frac{11}{4}*\bf\displaystyle\frac{3}{4} A = lw
enter \bf\displaystyle\frac{33}{16} Answer
Improper Fraction


Question
A much larger piece of cloth measures \bf\displaystyle7\frac{1}{2} inches by \bf\displaystyle8\frac{1}{4} inches.  What is its area?

Answer
\bf\displaystyle\frac{495}{8} square inches

Answer Process
See Rectangle.
Area = length × width
A = lw
A = \bf\displaystyle7\frac{1}{2} × \bf\displaystyle8\frac{1}{4} = \bf\displaystyle\frac{495}{8}

Input Display Comment
clear blinker clears screen
2nd mixed number 7 right 1 down 2 right
×
2nd mixed number 8 right 1 down 4 right		 \bf\displaystyle7\frac{1}{2}*\bf\displaystyle8\frac{1}{4} A = lw
enter \bf\displaystyle\frac{495}{8} Answer
Mixed Fraction

Question
With reference to the question above, express your answer in decimal form.

Answer
61.875 square inches

Answer Process
See Toggle.
\bf\displaystyle\frac{495}{8} ⇔ 61.875

Input Display Comment
clear blinker clears screen
2nd mixed number 7 right 1 down 2 right
×
2nd mixed number 8 right 1 down 4 right		 \bf\displaystyle7\frac{1}{2}*\bf\displaystyle8\frac{1}{4} A = l × w
enter \bf\displaystyle\frac{495}{8}
toggle 61.875 Answer
(Toggle)
Fraction ⇔ Decimal


Question
With reference to the question above, round your answer to the nearest tenth.

Answer
61.9 square inches

Answer Process
See Rounding.
61.875 → 61.9


Practice – Questions
1.  A computer component is shaped like a parallelogram (Area = base × height).
It measures \bf\displaystyle\frac{3}{4} centimeter at its base and \bf\displaystyle\frac{1}{4} cm in height.  What is its area?

2.  A computer component is shaped like a parallelogram (Area = base × height).
It measures \bf\displaystyle\frac{12}{7} centimeter at its base and \bf\displaystyle\frac{1}{4} cm in height.  What is its area?

3.  A computer component is shaped like a parallelogram (Area = base × height).
It measures \bf\displaystyle2\frac{1}{2} centimeter at its base and \bf\displaystyle\frac{3}{4} cm in height.  What is its area?

4.  A computer component is shaped like a parallelogram (Area = base × height).
It measures \bf\displaystyle7\frac{1}{2} centimeter at its base and \bf\displaystyle5\frac{3}{4} cm in height.  What is its area?

5.  With respect to question 4, what is the area in decimal form rounded to the nearest hundredth?


Practice – Answers
1.  \bf\displaystyle\frac{3}{16} square centimeters

2.  \bf\displaystyle\frac{3}{7} square centimeters

3.  \bf\displaystyle\frac{15}{8} square centimeters

4.  \bf\displaystyle\frac{345}{8} square centimeters

5.  43.13 square centimeters

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