Respuesta :
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!