Solve the equation. {:[(7)/(2)=(7)/(10)h],[h=]:}

Set up equation: Set up the equation from the problem. (7/2) = (7/10)hIsolate h: To find the value of h, we need to isolate h on one side of the equation. We can do this by dividing both sides of the equation by (7/10). h = (7/2) / (7/10)Simplify right side: Simplify the right side of the equation by multiplying by the reciprocal of (7/10), which is (10/7). h = (7/2) * (10/7)Cancel common factors: Cancel out the common factors of 7 in the numerator of both fractions. h = (1/2) * (10/1)Multiply fractions: Multiply the remaining fractions. h = 10/2Simplify fraction: Simplify the fraction by dividing 10 by 2. h = 5

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Solve the equation.

{:[(7)/(2)=(7)/(10)h],[h=]:}

Solve the equation. $\newline$ $\begin{array}{l} \frac{7}{2}=\frac{7}{10} h \\ h= \end{array}$

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Solve the equation.

\newline

\begin{array}{l} \frac{7}{2}=\frac{7}{10} h \\ h= \end{array}

Set up equation: Set up the equation from the problem. $\newline$ rac{7}{2} = rac{7}{10}h
Isolate $h$ : To find the value of $h$ , we need to isolate $h$ on one side of the equation. We can do this by dividing both sides of the equation by $(7/10)$ . $\newline$ $h = \frac{7/2}{7/10}$
Simplify right side: Simplify the right side of the equation by multiplying by the reciprocal of $(\frac{7}{10})$ , which is $(\frac{10}{7})$ . $\newline$ $h = (\frac{7}{2}) \times (\frac{10}{7})$
Cancel common factors: Cancel out the common factors of $7$ in the numerator of both fractions. $\newline$ $h = \left(\frac{1}{2}\right) * \left(\frac{10}{1}\right)$
Multiply fractions: Multiply the remaining fractions. $\newline$ $h = \frac{10}{2}$
Simplify fraction: Simplify the fraction by dividing $10$ by $2$ . $\newline$ $h = 5$