Question

Evaluate. $$3 \frac{1}{5}+1 \frac{7}{8}-5 \frac{1}{20}$$

   Evaluate.
$$3 \frac{1}{5}+1 \frac{7}{8}-5 \frac{1}{20}$$

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 3, Problem 46

Instant Answer

Solved by Expert Nez Nikoo

07/31/2020

Step 1

The denominator for all fractions will be 40, as it is the least common multiple of 5, 8, and 20. The first fraction becomes $\frac{3*5+1}{5} = \frac{16}{5}$, which is equivalent to $\frac{128}{40}$ when we multiply the numerator and the denominator by 8. The Show more…

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Evaluate. $$3 \frac{1}{5}+1 \frac{7}{8}-5 \frac{1}{20}$$

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Key Concepts

Mixed Numbers

Mixed numbers are expressions that combine a whole number with a proper fraction. In arithmetic operations, they are often converted to improper fractions to make calculations easier, especially during addition and subtraction.

Improper Fractions

Improper fractions have numerators that are equal to or larger than their denominators. They simplify arithmetic operations because converting mixed numbers to improper fractions allows for uniformity in handling the fractional parts during addition or subtraction.

Addition and Subtraction of Fractions

When adding or subtracting fractions, it is necessary to have a common denominator. This common denominator ensures that the fractions being combined are expressed in terms of the same parts, which makes the arithmetic straightforward.

Finding Common Denominators

Finding a common denominator involves determining a shared denominator (often the least common multiple of the original denominators) that allows all fractions in the operation to be expressed equivalently. This process is crucial for performing accurate arithmetic operations on fractions.

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