Ch. 2 Fraction Operationsmr. Mac's Page



You can type fractions in text and word processing documents in a number of ways. The simplest is to use a slash character between numbers. This also works in cases where you want your Mac to perform calculations, like in Spotlight. But you can also format the fractions nicely using baseline shifts, special fraction characters, and the math equation editors in Pages and Word.

Ch. 2 Fraction Operationsmr. Mac's Pages

Type a fraction (for example, 1/2), then press the Space bar and keep typing, or press Return. The setting applies to text you type from now on—it doesn’t change fractions you’ve already typed. See also Add mathematical equations in Pages on Mac Raise and lower characters and text in Pages on Mac Accents and special characters in Pages on Mac. I want 1/2' to read as a properly formatted fraction number, and the quotes should be straight instead of curly in Pages. More Less MacBook Pro 15' Touch Bar-OTHER, macOS Sierra (10.12.2), 2 TB Time Capsule & Airport Ex.

Check out 4 Ways To Type Fractions On a Mac at YouTube for closed captioning and more options.


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Ch. 2 fraction operationsmr. mac

Fractions represent parts of a whole — that is, quantities that fall between the whole numbers. Probably the most commonly used fraction is 1/2, which is one-half. When you cut a cake into two pieces and take one for yourself, you get 1/2 of the cake —hope you’re hungry!

When you slice yourself a fraction of a cake, that fraction contains two numbers, and each number tells you something different:

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  • The top number — called the numerator — tells you the number of shaded slices.

  • The bottom number — called the denominator — tells you the total number of slices.

When the numerator of a fraction is less than the denominator, that fraction is a proper fraction. If the numerator is greater than the denominator, that fraction is an improper fraction. You can convert improper fractions into mixed numbers.

Some fractions can be easily written as whole numbers:

  • When a fraction’s denominator is 1, that fraction is equal to its numerator.

  • When a fraction’s numerator and denominator are the same, that fraction is equal to 1. (This idea is important when you want to change the terms of a fraction.)

When you reverse the order of the numerator and denominator in a fraction, the result is the reciprocal of that fraction. You use reciprocals to divide by fractions.

Sample questions

  1. For each cake pictured below, identify the fraction of the cake that’s shaded.

    Put the number of shaded slices over the number of total slices in each cake:

    a.

    b.

    c.

    d.

  2. What’s the reciprocal of each of the following fractions?

    a.

    b.

    c.

    d.

    To find the reciprocal, switch around the numerator and the denominator:

    a. The reciprocal is

    b. The reciprocal is

    c. The reciprocal is

    d. The reciprocal is

Practice questions

  1. For each cake pictured, identify the fraction of the cake that’s shaded.

  2. Which of the following fractions are proper? Which are improper?

    a.

    b.

    c.

    d.

  3. Rewrite each of the following fractions as a whole number:

    a.

    b.

    c.

    d.

  4. Find the reciprocal of the following fractions:

    a.

    b.

    c.

    d.

Following are the answers to the practice questions:

Ch. 2 Fraction Operationsmr. Mac's Page Sheet

  1. Identify the fraction of the cake that’s shaded.

    a. You have 1 shaded slice and 3 slices in total, so it’s

    b. You have 3 shaded slices and 4 slices in total, so it’s

    c. You have 5 shaded slices and 6 slices in total, so it’s

    d. You have 7 shaded slices and 12 slices in total, so it’s

  2. Which of the following fractions are proper? Which are improper?

    a. The numerator (3) is greater than the denominator (2), so this fraction is an improper fraction.

    b. The numerator (8) is less than the denominator (9), so this fraction is a proper fraction.

    c. The numerator (20) is less than the denominator (23), so this fraction is a proper fraction.

    d. The numerator (75) is greater than the denominator (51), so this fraction is an improper fraction.

  3. Rewrite each of the following fractions as a whole number.

    a. The numerator and denominator are the same, so

    b.The denominator is 1, so

    c. The numerator and denominator are the same, so

    d. The denominator is 1, so

  4. Find the reciprocal of the following fractions by switching the numerator and denominator.

    a. The reciprocal is

    b. The reciprocal is

    c. The reciprocal is

    d. The reciprocal is