Questions: What is the difference? 3-5 1/3=

What is the difference? 3-5 1/3=
Transcript text: What is the difference? \[ 3-5 \frac{1}{3}= \]
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Solution

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Solution Steps

To solve the given problem, we need to convert the mixed number \(5 \frac{1}{3}\) into an improper fraction and then perform the subtraction operation with the integer 3.

Step 1: Convert the Mixed Number to an Improper Fraction

First, we convert the mixed number \(5 \frac{1}{3}\) into an improper fraction.

\[ 5 \frac{1}{3} = 5 + \frac{1}{3} = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \]

Step 2: Perform the Subtraction

Next, we subtract the improper fraction from the integer 3.

\[ 3 - \frac{16}{3} \]

To perform this subtraction, we convert 3 into a fraction with the same denominator:

\[ 3 = \frac{9}{3} \]

Now, we subtract the fractions:

\[ \frac{9}{3} - \frac{16}{3} = \frac{9 - 16}{3} = \frac{-7}{3} \]

Final Answer

\[ \boxed{\frac{-7}{3}} \]

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