Question

solve.
\\(\frac{3}{4} = t + \frac{6}{7}\\)

t = \\(\square\\) (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: Subtract 6/7 from both sides

To solve for \( t \), we need to isolate \( t \). So we subtract \( \frac{6}{7} \) from both sides of the equation \( \frac{3}{4}=t + \frac{6}{7} \). This gives us \( t=\frac{3}{4}-\frac{6}{7} \).

Step2: Find a common denominator

The common denominator of 4 and 7 is \( 4\times7 = 28 \). We rewrite the fractions with the common denominator: \( \frac{3}{4}=\frac{3\times7}{4\times7}=\frac{21}{28} \) and \( \frac{6}{7}=\frac{6\times4}{7\times4}=\frac{24}{28} \).

Step3: Subtract the fractions

Now we subtract the two fractions: \( t=\frac{21}{28}-\frac{24}{28}=\frac{21 - 24}{28}=\frac{- 3}{28} \).

Answer:

\( t = -\frac{3}{28} \)