Find each product or quotient where possible. See Example 2. -10⁄17 ÷ ( -12⁄5 )

Guida verificata passo dopo passo

Identify the problem as a division of two fractions: \(\frac{-10}{17} \div \frac{-12}{5}\).

Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. So rewrite the expression as \(\frac{-10}{17} \times \frac{5}{-12}\).

Multiply the numerators together and the denominators together: numerator = \(-10 \times 5\), denominator = \(17 \times -12\).

Simplify the product of the numerators and denominators separately, keeping track of the signs.

Reduce the resulting fraction to its simplest form by dividing numerator and denominator by their greatest common divisor (GCD).

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Division of Fractions

Dividing fractions involves multiplying the first fraction by the reciprocal of the second. For example, a ÷ b/c is equivalent to a × c/b. This method simplifies division problems by converting them into multiplication.

Video consigliato:

Percorso guidato

4:02

Solving Linear Equations with Fractions

Multiplication of Fractions

To multiply fractions, multiply the numerators together and the denominators together. For instance, (a/b) × (c/d) = (a×c)/(b×d). This operation is straightforward and essential for solving fraction division problems.

Video consigliato:

Percorso guidato

4:02

Solving Linear Equations with Fractions

Handling Negative Signs in Fractions

When multiplying or dividing fractions with negative signs, remember that a negative divided by a negative yields a positive result. Keep track of signs carefully to determine the correct sign of the final answer.

Video consigliato:

Percorso guidato

4:02

Solving Linear Equations with Fractions

Pratica correlata

Domanda del libro di testo

Rewrite each expression using the distributive property and simplify, if possible. See Example 7. -12(x - y)

637

views

Domanda del libro di testo

Identify the property illustrated in each statement. Assume all variables represent real numbers. 5 + √3 is a real number.

590