Subtract. Write the answer as a fraction or as a mixed number in simplest form. 7 (7)/(9)-3 (5)/

step 1 Okay, did you know that you could think of these numbers as 7 plus 7 9th minus 3 plus 5 7ths? An

Subtract. Write the answer as a fraction or as a mixed...

Key Concepts

Simplification of Fractions

Simplifying a fraction means reducing it to its simplest form by dividing the numerator and the denominator by their greatest common divisor. This process ensures the result is presented in the lowest terms, making it easier to understand and compare.

Common Denominator

A common denominator is a shared denominator for two or more fractions, which is necessary when performing operations like addition or subtraction. Using the least common denominator helps in rewriting the fractions so that their numerators can be directly combined.

Subtraction of Fractions

The subtraction of fractions involves ensuring that the fractions have a common denominator, so that the operation can be performed on the numerators directly. This step is fundamental in correctly computing the difference between fractional values.

Mixed Numbers

A mixed number combines a whole number and a fraction, making it useful for representing values that are not whole. When performing arithmetic operations, it is often beneficial to convert mixed numbers into improper fractions to simplify the process.

Conversion to Improper Fractions

Converting a mixed number into an improper fraction involves multiplying the whole number part by the denominator and adding the numerator, resulting in a single fractional representation. This conversion is especially useful for addition, subtraction, multiplication, or division of fractions.

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