Answer: [tex]\dfrac{35}{16}[/tex]
Step-by-step explanation:
To compute : [tex]\dfrac{49}{24}\text{ of }\dfrac{15}{14}[/tex]
We need to replace 'of' by '×' , we get
[tex]\dfrac{49}{24}\times\dfrac{15}{14}[/tex]
[tex]=\dfrac{49\times15}{24\times14}[/tex]
[tex]=\dfrac{7\times7\times3\times5}{3\times8\times2\times7}[/tex]
Cancel out a 7 and 3 from numerator and denominator , we get
[tex]=\dfrac{7\times5}{8\times2}\\\\=\dfrac{35}{16}[/tex] ( improper form)
Hence, the answer = [tex]\dfrac{35}{16}[/tex]
