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Answer :

Lanuelgo
  1. The estimate for the first expression is [tex]\frac{1}{2}[/tex].
  2. The estimate for the second expression is 1.
  3. The estimate for the third expression is 0.

Given the following expression:

  • [tex]\frac{1}{8} + \frac{2}{5}[/tex]
  • [tex]\frac{13}{14} -\frac{1}{10}[/tex]
  • [tex]\frac{1}{12} + \frac{1}{20}[/tex]

To determine an estimate for each expression:

What is a fraction?

A fraction can be defined as a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

The parts of a fraction

Generally, a fraction comprises two (2) main parts and these include:

  • Numerator: it's the upper part of a fraction.
  • Denominator: it's the lower part of a fraction.

In this exercise, we would simplify and estimate the given expressions as follows:

Note: An estimate simply means an approximate value.

a. [tex]\frac{1}{8} + \frac{2}{5}=\frac{5+16}{40}=\frac{21}{40}[/tex]

For the estimate:

[tex]\frac{1}{8} + \frac{2}{5}=\frac{1}{2}[/tex]

b. [tex]\frac{13}{14} -\frac{1}{10}=\frac{130-14}{140} =\frac{116}{140} =0.83[/tex]

For the estimate:

0.83 ≈ 1

c. [tex]\frac{1}{12} + \frac{1}{20}=\frac{5-3}{60} =\frac{2}{60} =0.03[/tex]

For the estimate:

0.03 ≈ 0

Read more on fractions here: https://brainly.com/question/368260

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