Solve for u. u-(3)/(4)=8(3)/(5)

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Convert to Improper Fraction: Convert the mixed number 8(3/5) to an improper fraction. To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Then place the result over the original denominator. 8(3/5) = (8 * 5 + 3) / 5 8(3/5) = (40 + 3) / 5 8(3/5) = 43/5Replace with Improper Fraction: Rewrite the equation with the improper fraction. Replace the mixed number in the equation with the improper fraction. u - (3/4) = 43/5Find Common Denominator: Find a common denominator to combine the fractions. The common denominator for 4 and 5 is 20. Convert each fraction to an equivalent fraction with a denominator of 20. (3/4) = (3 * 5) / (4 * 5) = 15/20 (43/5) = (43 * 4) / (5 * 4) = 172/20 Now the equation is: u - 15/20 = 172/20Add to Isolate u: Add 15/20 to both sides to isolate u. u - 15/20 + 15/20 = 172/20 + 15/20 u = 172/20 + 15/20Combine Fractions: Combine the fractions on the right side of the equation. Add the numerators and keep the denominator the same. u = (172 + 15) / 20 u = 187/20Convert to Mixed Number: Convert the improper fraction back to a mixed number if necessary. To convert an improper fraction to a mixed number, divide the numerator by the denominator. 187/20 = 9 with a remainder of 7 So, 187/20 = 9(7/20)

Solve for $u$ . $\newline$ $u-\frac{3}{4}=8 \frac{3}{5}$

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Solve for $u$ . $\newline$ $u-\frac{3}{4}=8 \frac{3}{5}$