Solve for f. 3 = f + 7/4 f = _____

Isolate variable f: Isolate the variable f by subtracting 7/4 from both sides of the equation. 3 = f + 7/4 3 - 7/4 = f + 7/4 - 7/4 3 - 7/4 = fConvert whole number: Convert the whole number 3 to a fraction with the same denominator as 7/4 to perform the subtraction. 3 = 3/1 To have the same denominator, multiply both the numerator and denominator of 3/1 by 4. (3/1) * (4/4) = 12/4 Now subtract 7/4 from 12/4. 12/4 - 7/4 = fPerform fraction subtraction: Perform the subtraction of the fractions. 12/4 - 7/4 = (12 - 7)/4 5/4 = f

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Solve for $f$ . $\newline$ $3 = f + \frac{7}{4}$ $\newline$ $f =$ _____

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

f

\newline

3 = f + \frac{7}{4}

\newline

f =

_____

Isolate variable f: Isolate the variable f by subtracting $\frac{7}{4}$ from both sides of the equation. $\newline$ $3 = f + \frac{7}{4}$ $\newline$ $3 - \frac{7}{4} = f + \frac{7}{4} - \frac{7}{4}$ $\newline$ $3 - \frac{7}{4} = f$
Convert whole number: Convert the whole number $3$ to a fraction with the same denominator as $\frac{7}{4}$ to perform the subtraction. $\newline$ $3 = \frac{3}{1}$ $\newline$ To have the same denominator, multiply both the numerator and denominator of $\frac{3}{1}$ by $4$ . $\newline$ $\left(\frac{3}{1}\right) \times \left(\frac{4}{4}\right) = \frac{12}{4}$ $\newline$ Now subtract $\frac{7}{4}$ from $\frac{12}{4}$ . $\newline$ $\frac{12}{4} - \frac{7}{4} = f$
Perform fraction subtraction: Perform the subtraction of the fractions. $\newline$ $\frac{12}{4} - \frac{7}{4} = \frac{12 - 7}{4}$ $\newline$ $\frac{5}{4} = f$