Respuesta :

Explanation:

Question:

The question is given below as

[tex]\frac{15}{24}-\frac{10}{27}[/tex]

Step 1:

Reduce to the lowest term below as

[tex]\begin{gathered} \frac{15}{24}-\frac{10}{27} \\ \frac{5}{8}-\frac{10}{27} \end{gathered}[/tex]

Step 2:

Find the L.C.M od 8 and 27

The L.C.M od 8 and 27 is

[tex]216[/tex]

Step 3:

Solve the fraction using the L.C.M

[tex]\begin{gathered} \frac{5}{8}-\frac{10}{27} \\ \frac{5(27)-10(8)}{216} \\ \frac{135-80}{216} \\ =\frac{55}{216} \end{gathered}[/tex]

Hence,

The final answer is

[tex]\frac{55}{216}[/tex]

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