Subtract the mixed numbers. Write the answers as fractions or mixed numbers. 12-9 (2)/(9)

Name: Problem 75, Chapter 4: Prealgebra
Uploaded: 2020-08-14T05:36:29-08:00
Duration: 1 min 6 s
Channel: Ava Perkins
Description: Subtract the mixed numbers. Write the answers as fractions or mixed numbers. 12-9 (2)/(9)

step 1 Okay, so we have 12 minus 9 and 2 knights. 12 is really just 12 over 1. So what I'm going to do

Subtract the mixed numbers. Write the answers as fractions...

Key Concepts

Simplifying Fractions

After performing arithmetic operations, the result might be an improper fraction or a fraction that is not in its lowest terms. Simplifying crucially involves reducing the fraction by dividing both the numerator and the denominator by their greatest common divisor, or, if needed, converting an improper fraction back into a mixed number.

Mixed Numbers

A mixed number combines a whole number with a proper fraction, representing a value that is greater than the whole number but less than the whole number plus one. This concept is important because mixed numbers are frequently used in everyday arithmetic and need to be understood and manipulated in mathematical operations.

Conversion to Improper Fractions

Converting a mixed number into an improper fraction simplifies arithmetic operations such as addition and subtraction. This process involves multiplying the whole number by the denominator and then adding the numerator, resulting in a single fraction that can be more easily manipulated.

Finding a Common Denominator

When subtracting fractions that have different denominators, it is essential to find a common denominator so that the fractions can be directly subtracted. This ensures that the fractions have the same baseline, which is crucial for performing accurate arithmetic operations.

Subtracting Fractions

Once fractions share a common denominator, their subtraction involves simply subtracting the numerators while keeping the common denominator unchanged. This concept is fundamental to manipulating fractions correctly in various mathematical problems.

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