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(3)/(4)(4h-6)

$\frac{3}{4}(4 h-6)$

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Simplify radical expressions involving fractions

Full solution

Q.

\frac{3}{4}(4 h-6)

Identify Expression Components: Identify the expression and its components. $\newline$ The expression given is $(\frac{3}{4})(4h-6)$ . It consists of a fraction $\frac{3}{4}$ and a binomial $4h-6$ .
Distribute Fraction Across Binomial: Distribute the fraction across the binomial. $\newline$ To simplify the expression, we need to multiply the fraction $\frac{3}{4}$ by each term in the binomial $(4h-6)$ . $\newline$ $\frac{3}{4} \times 4h - \frac{3}{4} \times 6$
Simplify Each Term: Simplify each term. $\newline$ Now we simplify each term by multiplying the numerators with the respective terms and keeping the denominator constant. $\newline$ $(3 \times 4h) / 4 - (3 \times 6) / 4$
Cancel Common Factors: Cancel out common factors. $\newline$ In the first term, the $4$ in the numerator and the $4$ in the denominator cancel each other out. In the second term, we can simplify the fraction. $\newline$ $3h - (18 / 4)$
Simplify Second Term: Simplify the second term. $\newline$ The second term $\frac{18}{4}$ can be simplified by dividing $18$ by $4$ . $\newline$ $3h - 4.5$
Write Final Expression: Write the final simplified expression. $\newline$ The final simplified expression is $3h - 4.5$ .

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