Solve for q. {:[(3)/(5)=(q)/( 10)],[q=]:}

Write Equation: Write down the given equation. We have the equation (3/5) = (q/10). Our goal is to solve for q.Cross-Multiply: Cross-multiply to solve for q. To find the value of q, we can cross-multiply the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other. So, we have 3 × 10 = 5 × q.Perform Multiplication: Perform the multiplication. Now we calculate the products from the cross-multiplication. 3 × 10 = 30 and 5 × q = 5q. So, we have 30 = 5q.Divide for q: Divide both sides by 5 to solve for q. To isolate q, we divide both sides of the equation by 5. 30 ÷ 5 = 5q ÷ 5.Calculate q: Calculate the value of q. 30 ÷ 5 = 6 and 5q ÷ 5 = q. So, q = 6.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

q

\newline

\begin{array}{l} \frac{3}{5}=\frac{q}{10} \\ q= \end{array}

Write Equation: Write down the given equation. $\newline$ We have the equation $(\frac{3}{5}) = (\frac{q}{10})$ . Our goal is to solve for $q$ .
Cross-Multiply: Cross-multiply to solve for $q$ . To find the value of $q$ , we can cross-multiply the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other. So, we have $3 \times 10 = 5 \times q$ .
Perform Multiplication: Perform the multiplication. $\newline$ Now we calculate the products from the cross-multiplication. $\newline$ $3 \times 10 = 30$ and $5 \times q = 5q$ . $\newline$ So, we have $30 = 5q$ .
Divide for q: Divide both sides by $5$ to solve for $q$ . $\newline$ To isolate $q$ , we divide both sides of the equation by $5$ . $\newline$ $30 \div 5 = 5q \div 5$ .
Calculate q: Calculate the value of q. $\newline$ $30 \div 5 = 6$ and $5q \div 5 = q$ . $\newline$ So, $q = 6$ .