Respuesta :

Answer:

1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)

2. 2/12 = 1/6 (simplified)

3. 12/72 = 1/6 (simplified)

Hope this helps :)

Answer:

[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]

[tex]\frac{2}{3} * \frac{1}{4} = \frac{1}{6}[/tex]

[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]

Reduce the fraction by diving both sides by the common factor.

[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]

To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.

25 / 2 = 12 with remainder of 1

[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]

[tex]\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}[/tex]

[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]

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