Question

would appreciate ur help please :))

Answer 1

$\huge\bf{ \underline{Question}}$

• $\sf{Which\:is\:closer\:to\:\dfrac{1}{2}}$

$\huge\bf{ \underline{Answer}}$

• $\sf{\dfrac{11}{21}}$

$\huge\bf{ \underline{Solution}}$

1.

$\mapsto\sf{\dfrac{2}{15}+\dfrac{1}{3}}$

${}$

$\mapsto\sf{\dfrac{2+5}{15}}$

${}$

$\mapsto\sf{ \red{\dfrac{7}{15}}}$

${}$

2.

$\mapsto\sf{\dfrac{6}{7}-\dfrac{1}{3}}$

${}$

$\mapsto\sf{\dfrac{18-7}{21}}$

${}$

$\mapsto\sf{ \red{\dfrac{11}{21}}}$

${}$

$\bf{ \purple{\dfrac{11}{21}\:is\: nearer\:to\dfrac{1}{2}}}$

$\sf{ }$

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

• which sum is closer to 1/2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{solution}}}}}}}}$

$\sf{\bold{\orange{\underline{\underline{First \:sum}}}}}$

$\sf\implies {\dfrac{2}{15} + \dfrac{1}{3}}$

$\sf\implies{\dfrac{2 + 5}{15}}$

$\sf\implies\dfrac{7}{15}$

$\sf{\bold{\orange{\underline{\underline{second\:sum}}}}}$

$\sf\implies {\dfrac{6}{7} - \dfrac{1}{3}}$

$\sf\implies{\dfrac{18 - 7}{21}}$

$\sf\implies\dfrac{11}{21}$

$\sf{\bold{\orange{\underline{\underline{Compare}}}}}$

• compare all the fractions .

$\sf\dfrac{7 \times 14 }{15\times 14 }\dfrac{=}{=} \dfrac{98}{210}$

$\sf\dfrac{11 \times 10 }{21\times 10 }\dfrac{=}{=} \dfrac{110}{210}$

$\sf\dfrac{1\times 105}{2\times 105}\dfrac{= }{=}\dfrac{105}{210}$

as we can clearly see $\dfrac{110}{210}$ is closer to $\dfrac{105}{210}$

therefore $\dfrac{11}{21}$ is more closer to $\dfrac{1}{2}$

__________________❤