Respuesta :

Lenvy

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{2}{3}-\frac{1}{4}[/tex]

[tex]\mathrm{Subtract\;Whole\;Number}[/tex]

[tex]1-0=1[/tex]

[tex]\mathrm{Combine\;fraction}[/tex]

[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]

[tex]=1+\frac{5}{12}[/tex]

[tex]=1\frac{5}{12}[/tex]

Hence, the answer is 1 5/12

~Lenvy~

1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate

⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]

2. Now lets the change the base of both fractions into a common denominator and solve

⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]

Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]

Hope that helps!

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