Answer: The correct answer is Option B.
Step-by-step explanation:
The given numbers are: 7.56 and 6.777777.....
Both the numbers are rational as they can be expressed in the form of [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex]
- Expressing 7.56 in fractional form:
[tex]\Rightarrow 7.56=\frac{756}{100}[/tex]
- Expressing 6.777777.... in fractional form:
[tex]x=6.77777.........[/tex] .......(1)
Multiplying both the sides of equation by 10, we get:
[tex]10x=67.77777.....[/tex] ........(2)
Now, subtracting equation 2 from equation 1, we get:
[tex]9x=61\\\\x=\frac{61}{9}[/tex]
The multiplication of two rational numbers, will always produce a rational number.
[tex]\Rightarrow \frac{756}{100}\times \frac{61}{9}=\frac{1281}{25}=51.24[/tex]
Hence, the correct answer is Option B.
