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$Evaluate and simplify the following complex fraction. ((-5)/(-2))/((6)/(7))=$

Evaluate and simplify the following complex fraction. $\newline$ $\frac{\frac{-5}{-2}}{\frac{6}{7}}=\square$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Evaluate and simplify the following complex fraction.

\newline

\frac{\frac{-5}{-2}}{\frac{6}{7}}=\square

Simplify Numerator: First, let's simplify the numerator and the denominator separately. The numerator is $(-5)/(-2)$ , which simplifies to $5/2$ because a negative divided by a negative is a positive.
Simplify Denominator: Now, let's look at the denominator, which is $(\frac{6}{7})$ . This is already in its simplest form, so we don't need to do anything with it.
Divide by Reciprocal: Next, we divide the fraction in the numerator by the fraction in the denominator. Dividing by a fraction is the same as multiplying by its reciprocal. So, we multiply $\frac{5}{2}$ by the reciprocal of $\frac{6}{7}$ , which is $\frac{7}{6}$ .
Multiply Fractions: Now, multiply the two fractions. $(\frac{5}{2}) \times (\frac{7}{6}) = \frac{35}{12}$ . This is the simplified result of the complex fraction.

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