Pregunta
Dividing Fractions Test Pree (Do in boxes) Which expression is equivalent to \( 2 \frac{3}{5} \div \frac{7}{9} ? \)
Ask by Ramirez Wade. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The expression equivalent to \( 2 \frac{3}{5} \div \frac{7}{9} \) is \( \frac{13}{5} \times \frac{9}{7} \).
Solución
Step 1: Convert the mixed number to an improper fraction.
2 3/5 = (2 × 5 + 3)/5 = 13/5
Step 2: Change the division to multiplication by using the reciprocal of the second fraction.
So, 13/5 ÷ 7/9 becomes 13/5 × 9/7
Thus, the expression equivalent to 2 3/5 ÷ 7/9 is:
[ 13/5 ] × [ 9/7 ]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To solve \( 2 \frac{3}{5} \div \frac{7}{9} \), first convert the mixed number to an improper fraction. \( 2 \frac{3}{5} \) can be expressed as \( \frac{13}{5} \) (since \( 2 \times 5 + 3 = 13 \)). Next, remember that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, the expression becomes \( \frac{13}{5} \times \frac{9}{7} \). Now, multiply the fractions: \[ \frac{13 \times 9}{5 \times 7} = \frac{117}{35} \] Thus, \( 2 \frac{3}{5} \div \frac{7}{9} = \frac{117}{35} \), or as a mixed number, it’s \( 3 \frac{12}{35} \).
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