Solve for f : {:[f+(1)/(4)=-(7)/(2)],[f=]:}

Write Equation: Write down the equation that needs to be solved. f + 1/4 = -7/2Subtract 1/4: To isolate f, we need to subtract 1/4 from both sides of the equation. f + 1/4 - 1/4 = -7/2 - 1/4Simplify Equation: Simplify both sides of the equation. f = -7/2 - 1/4Find Common Denominator: Find a common denominator to combine the fractions on the right side of the equation. The common denominator for 2 and 4 is 4. f = (-7 * 2) / 4 - 1/4Perform Operations: Perform the multiplication and subtraction. f = -14/4 - 1/4 f = (-14 - 1) / 4Combine Numerators: Combine the numerators and keep the common denominator. f = -15/4

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Solve for

f

\newline

\begin{array}{l} f+\frac{1}{4}=-\frac{7}{2} \\ f=\square \end{array}

Write Equation: Write down the equation that needs to be solved. $\newline$ $f + \frac{1}{4} = -\frac{7}{2}$
Subtract $\frac{1}{4}$ : To isolate $f$ , we need to subtract $\frac{1}{4}$ from both sides of the equation. $\newline$ $f + \frac{1}{4} - \frac{1}{4} = -\frac{7}{2} - \frac{1}{4}$
Simplify Equation: Simplify both sides of the equation. $\newline$ $f = -\frac{7}{2} - \frac{1}{4}$
Find Common Denominator: Find a common denominator to combine the fractions on the right side of the equation. $\newline$ The common denominator for $2$ and $4$ is $4$ . $\newline$ $f = (-7 \times 2) / 4 - \frac{1}{4}$
Perform Operations: Perform the multiplication and subtraction. $\newline$ $f = -\frac{14}{4} - \frac{1}{4}$ $\newline$ $f = \frac{(-14 - 1)}{4}$
Combine Numerators: Combine the numerators and keep the common denominator. $\newline$ $f = \frac{-15}{4}$