Question

(1/3+5/6)*m ( let m=1/4

Answer 1

Answer:

The value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$  when  $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Step-by-step explanation:

Considering the expression

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

As

• $m=\frac{1}{4}$

As the expression is

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

Putting $m=\frac{1}{4}$ in the given expression would bring:

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}$

$\mathrm{Join}\:\frac{1}{3}+\frac{5}{6}:\quad \frac{7}{6}$

$=\frac{7}{6}\cdot \frac{1}{4}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{7\cdot \:1}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:7\cdot \:1=7$

$=\frac{7}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:4=24$

$=\frac{7}{24}$

Therefore, the value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$  when  $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Keywords: algebraic expression

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