Question

simplify (3^-1+2^-1+4^0) × 1/4​

Answer 1

Answer:

11/24

Explanation:

(3^-1+2^-1+4^0)×(1/4)

= (1/3 + 1/2 + 1 )×(1/4)

= [(2+3+6)/6]×(1/4)

= (11/6)(1/4)

= 11/24

••••

Answer 2

Solution:-

${ = > ( {3}^{ - 1} + {2}^{ - 1} + {4}^{0} ) \times \frac{1}{4} }$

we can write it as

${ = (\frac{1}{3} + \frac{1}{2} + 1) \times \frac{1}{4} }$

${ = ( \frac{1 \times 2}{3 \times 2} + \frac{1 \times 3}{2 \times 3} + 1 ) \times \frac{1}{4} }$

${ = ( \frac{2}{6} + \frac{3}{ 6} + 1 ) \times \frac{1}{4} }$

${ =( \frac{2 + 3}{6} + 1) \times \frac{1}{4} }$

${ = (\frac{5}{6} + 1) \times \frac{1}{4} }$

${ =( \frac{5 + 6}{6} ) \times \frac{1}{4} }$

${ = \frac{11}{6} \times \frac{1}{4} }$

${ = \frac{11}{24} }$

${ = \frac{11}{24} }$

i hope it helps you.