Answer:
The quotient of the expressions is \boxed{\frac{3}{2}}
2
3
.
Step-by-step explanation:
Mathematical Sentence:
\frac{2x+5}{4}\:\div\:\frac{2x+5}{6}
4
2x+5
÷
6
2x+5
Solution:
\begin{gathered}\frac{2x+5}{4}\:\div\:\frac{2x+5}{6}\\=\frac{2x+5}{4}\:\times\:\frac{6}{2x+5}\\=\frac{6(2x+5)}{4(2x+5)}\\=\frac{6}{4}\\=\boxed{\frac{3}{2}}\end{gathered}
4
2x+5
÷
6
2x+5
=
4
2x+5
×
2x+5
6
=
4(2x+5)
6(2x+5)
=
4
6
=
2
3
Step-by-step explanation:
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