Distributive property

Verify the distributive property a×(b+c)=(a×b)+(a*c) for the rational number a=5/8, b=7/4 and c=2/3

Correct answer:

v₁ =  1.5104
v₂ =  1.5104

Step-by-step explanation:

$$\begin{gathered} a=5\mathrm{/}8={\displaystyle \frac{5}{8}}=0.625 \\ b=7\mathrm{/}4={\displaystyle \frac{7}{4}}=1\frac{3}{4}=1.75 \\ c=2\mathrm{/}3={\displaystyle \frac{2}{3}}\doteq 0.6667 \\ {v}_1=a\cdot (b+c)=0.625\cdot (1.75+0.6667)={\displaystyle \frac{145}{96}}=1\frac{49}{96}=1.5104 \end{gathered}$$

$$\begin{gathered} v_2=(a\cdot b)+(a\cdot c)=(0.625\cdot 1.75)+(0.625\cdot 0.6667)={\displaystyle \frac{145}{96}}=1\frac{49}{96}\doteq 1.5104 \\ {v}_1=v_2 \end{gathered}$$

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