Solve for b : {:[b-(7)/(4)=-(2)/(3)],[b=◻]:}

Write Equation: Write down the given equation. We have the equation b - 7/4 = -2/3.Add 7/4: Add 7/4 to both sides of the equation to isolate b. b - 7/4 + 7/4 = -2/3 + 7/4 This simplifies to: b = -2/3 + 7/4Find Common Denominator: Find a common denominator to combine the fractions on the right side of the equation. The common denominator for 3 and 4 is 12. Convert each fraction to an equivalent fraction with a denominator of 12. b = (-2/3) * (4/4) + (7/4) * (3/3) b = -8/12 + 21/12Combine Fractions: Add the fractions together. b = (-8/12) + (21/12) b = 13/12

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

b

\newline

\begin{array}{l} b-\frac{7}{4}=-\frac{2}{3} \\ b=\square \end{array}

Write Equation: Write down the given equation. $\newline$ We have the equation $b - \frac{7}{4} = -\frac{2}{3}$ .
Add $\frac{7}{4}$ : Add $\frac{7}{4}$ to both sides of the equation to isolate $b$ . $b - \frac{7}{4} + \frac{7}{4} = -\frac{2}{3} + \frac{7}{4}$ This simplifies to: $b = -\frac{2}{3} + \frac{7}{4}$
Find Common Denominator: Find a common denominator to combine the fractions on the right side of the equation. $\newline$ The common denominator for $3$ and $4$ is $12$ . Convert each fraction to an equivalent fraction with a denominator of $12$ . $\newline$ b = \left(-\frac{$2$}{$3$}\right) \times \left(\frac{$4$}{$4$}\right) + \left(\frac{$7$}{$4$}\right) \times \left(\frac{$3$}{$3$}\right)$\newline$ $b = -\frac{8}{12} + \frac{21}{12}$
Combine Fractions: Add the fractions together. $\newline$ $b = \frac{-8}{12} + \frac{21}{12}$ $\newline$ $b = \frac{13}{12}$