Compound Fractions: Example

Rule 27:

A compound fraction is sometimes called a mixed number.

tex2html_wrap_inline86 , tex2html_wrap_inline88 , and tex2html_wrap_inline90 are examples of compound fractions.

Example:
Calculate tex2html_wrap_inline12 and write the answer as a simple fraction, compound number, and as a decimal.

Answer:
Simple: tex2html_wrap_inline94 , Compound: tex2html_wrap_inline94 , Decimal: 0.208333.

Solution:
Convert the compound numbers to simple fractions.

tex2html_wrap_inline35

Recall that the parenthesis instructs the reader to treat what's inside as one number. The problem can now be written in terms of simple fractions.

tex2html_wrap_inline104 .

Convert the division to multiplication by changing the signs and inverting the numbers to the right of the signs.

tex2html_wrap_inline35

The answer is the simple fraction tex2html_wrap_inline94 . Since the value is less than 1, the compound number is also the simple fraction tex2html_wrap_inline116 .

Use your calculator to estimate the decimal answer of 0.208333.

[Previous Example] [Menu Back]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author:Nancy Marcus

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour