Solve the following problems: 5 (12)/(15)+3 (1)/(5)+6 (1)/(3)

Name: Problem 7, Chapter 2: Essential Math and Calculations for Pharmacy Technicians
Uploaded: 2020-07-19T20:19:54-08:00
Duration: 53 s
Channel: Nez Nikoo
Description: Solve the following problems: 5 (12)/(15)+3 (1)/(5)+6 (1)/(3)

step 1 Okay, we have three fraction mixed numbers. So first thing to do is just add the whole number. T

Solve the following problems: 5 (12)/(15)+3 (1)/(5)+6...

Key Concepts

Mixed Numbers

Mixed numbers combine a whole number with a fraction, allowing the representation of quantities that have both an integer and a fractional part. Understanding mixed numbers is essential when performing arithmetic operations that involve both whole and fractional components.

Conversion to Improper Fractions

Converting a mixed number to an improper fraction involves rewriting the number so that the numerator is larger than the denominator. This is achieved by multiplying the whole number by the denominator of the fractional part and then adding the numerator, which simplifies the arithmetic process, especially for addition or subtraction of fractions.

Common Denominator

A common denominator is a shared multiple of the denominators of several fractions, necessary for performing addition or subtraction on them. Finding a common denominator, often the least common multiple, allows the fractions to be rewritten with a uniform base, enabling the straightforward combination of their numerators.

Fraction Addition

Fraction addition involves combining fractions by ensuring they share a common denominator. Once the fractions are rewritten with the same denominator, the numerators can be added directly, and the result can be simplified or converted back to a mixed number if necessary.

Simplification of Fractions

Simplification refers to reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor. This process ensures that the fraction is expressed in its most reduced, clear, and concise form after performing arithmetic operations.

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