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Find the difrence 6(2)/(3)-3(3)/(4)...

Find the difrence
`6(2)/(3)-3(3)/(4)`

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To find the difference between the fractions \( \frac{6}{3} \) and \( \frac{3}{4} \), we will follow these steps: ### Step 1: Write the fractions We start with the fractions: \[ \frac{6}{3} - \frac{3}{4} \] ### Step 2: Simplify the first fraction The first fraction can be simplified: \[ \frac{6}{3} = 2 \] So now, we have: \[ 2 - \frac{3}{4} \] ### Step 3: Convert the whole number to a fraction To subtract the fraction, we need to convert the whole number \( 2 \) into a fraction with a common denominator. The common denominator for \( 1 \) and \( 4 \) is \( 4 \). Thus, we can write: \[ 2 = \frac{2 \times 4}{1 \times 4} = \frac{8}{4} \] ### Step 4: Rewrite the expression Now we rewrite the expression: \[ \frac{8}{4} - \frac{3}{4} \] ### Step 5: Subtract the fractions Since the denominators are the same, we can subtract the numerators: \[ \frac{8 - 3}{4} = \frac{5}{4} \] ### Step 6: Final answer The difference is: \[ \frac{5}{4} \]
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