3/7 = h/14 - 2/7 solve for h

Find Common Denominator: We have the equation 3/7 = h/14 - 2/7. First, we need to get rid of the fraction on the right side by finding a common denominator for the fractions. The common denominator for 7 and 14 is 14, so we rewrite the equation as 3/7 = h/14 - (2/7)*(14/14).Simplify Right Side: We have 3/7 = h/14 - 2*14/14*7. Simplify the right side of the equation. This simplifies to 3/7 = h/14 - 4/14.Combine Fractions: We have 3/7 = h/14 - 4/14. Combine the fractions on the right side by finding a common denominator, which is already 14. This simplifies to 3/7 = (h - 4)/14.Cross Multiply: We have 3/7 = (h - 4)/14. Now, we need to get rid of the denominator 14 to solve for h. We do this by cross multiplying. This gives us 3*14 = 7*(h - 4).Simplify Equation: We have 3*14 = 7*(h - 4). Simplify both sides of the equation. This simplifies to 42 = 7h - 28.Isolate Term with h: We have 42 = 7h - 28. Add 28 to both sides to isolate the term with h. This gives us 42 + 28 = 7h.Divide by 7: We have 42 + 28 = 7h. Simplify the left side of the equation. This simplifies to 70 = 7h.Simplify Right Side: We have 70 = 7h. Divide both sides by 7 to solve for h. This gives us h = 70 / 7.We have h = 70 / 7. Simplify the right side of the equation. This simplifies to h = 10.

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$\frac{3}{7} = \frac{h}{14} - \frac{2}{7}$ solve for $h$

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\frac{3}{7} = \frac{h}{14} - \frac{2}{7}

solve for

h

Find Common Denominator: We have the equation $\frac{3}{7} = \frac{h}{14} - \frac{2}{7}$ . First, we need to get rid of the fractions" target="_blank" class="backlink">fraction on the right side by finding a common denominator for the fractions. The common denominator for $7$ and $14$ is $14$ , so we rewrite the equation as $\frac{3}{7} = \frac{h}{14} - \left(\frac{2}{7}\right)\left(\frac{14}{14}\right)$ .
Simplify Right Side: We have $\frac{3}{7} = \frac{h}{14} - 2\times\frac{14}{14}\times7$ . Simplify the right side of the equation. This simplifies to $\frac{3}{7} = \frac{h}{14} - \frac{4}{14}$ .
Combine Fractions: We have $\frac{3}{7} = \frac{h}{14} - \frac{4}{14}$ . Combine the fractions on the right side by finding a common denominator, which is already $14$ . This simplifies to $\frac{3}{7} = \frac{(h - 4)}{14}$ .
Cross Multiply: We have $\frac{3}{7} = \frac{(h - 4)}{14}$ . Now, we need to get rid of the denominator $14$ to solve for $h$ . We do this by cross multiplying. This gives us $3 \times 14 = 7 \times (h - 4)$ .
Simplify Equation: We have $3\times14 = 7\times(h - 4)$ . Simplify both sides of the equation. This simplifies to $42 = 7h - 28$ .
Isolate Term with $h$ : We have $42 = 7h - 28$ . Add $28$ to both sides to isolate the term with $h$ . This gives us $42 + 28 = 7h$ .
Divide by $7$ : We have $42 + 28 = 7h$ . $\newline$ Simplify the left side of the equation. $\newline$ This simplifies to $70 = 7h$ .
Simplify Right Side: We have $70 = 7h$ . $\newline$ Divide both sides by $7$ to solve for $h$ . $\newline$ This gives us $h = \frac{70}{7}.$
Simplify Right Side: We have $70 = 7h$ . $\newline$ Divide both sides by $7$ to solve for $h$ . $\newline$ This gives us $h = \frac{70}{7}$ .We have $h = \frac{70}{7}$ . $\newline$ Simplify the right side of the equation. $\newline$ This simplifies to $h = 10$ .