simplify the complex fraction 5+1/4 / 2+2/3
I cannot understand what you have written. Please use parentheses, perhaps lots of them, to clarify intent. Maybe: \(\dfrac{5+\dfrac{1}{4}}{2 + \dfrac{2}{3}}\)?
yes
You could have written [5 + (1/4)]/[2 + (2/3)] Parentheses add clarity! Find the least common denominator if all denominators that appear.
okay sorry for typing it so bad and i got 1
It's not a matter of typing badly. It's simply a matter of typing so that others can understand. Use parentheses! You got 1 for what? Did you do my little exercise? Find the least common denominator if all denominators that appear.
im not sure
?? Have you ever added fractions? How would you add these? \(\dfrac{1}{4} + \dfrac{2}{3}\)
3/4
3/12
Where did you get 12? Why did you use that value? What happened that caused you to think that you might need 12?
i dontknow what im doing
Go look at your original expression. Do NOT multiple numerator and denominator by different values. Find the least common denominator of all the denominators that exist. Numbers involved are 5, 1/4, 2, 2/3. What is the least common denominator amongst those four values?
... no... just change the 2 complex fraction into improper fractions then remember, dividing by a fraction is the same as multiplying by its reciprocal
\[\frac{ 5 +\frac{1}{4}}{2+\frac{2}{3}}\]\[5= \frac{20}{4}\] \[5+\frac{1}{4}=\frac{20}{4}+\frac{1}{4} = \frac{21}{4}\] \[2=\frac{6}{3}\] \[2+\frac{2}{3}=\frac{6}{3}+\frac{2}{3}=\frac{8}{3}\] \[\frac{ 5 \frac{1}{4}}{2\frac{2}{3}}= \frac{\frac{21}{4}}{\frac{8}{3}}= \frac{21}{4}*\frac{3}{8}= ...\] any questions?
\(\dfrac{5 + \dfrac{1}{4}}{2 + \dfrac{2}{3}}\cdot \dfrac{12}{12} = \dfrac{60 + 3}{24 + 16}\)
Whoops. Denominator is "24 + 8"
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