Step-by-step explanation:
We have,
[tex]\dfrac{6}{7} \times 42.21[/tex]
To find, the value of [tex]\dfrac{6}{7} \times 42.21[/tex] = ?
∴ [tex]\dfrac{6}{7} \times 42.21[/tex]
= [tex]\dfrac{6}{7} \times \dfrac{4221}{100}[/tex]
We know that,
The properties of rational numbers,
[tex]\dfrac{a}{b} \times \dfrac{c}{d} =\dfrac{a\times c}{b\times d}[/tex]
= [tex]\dfrac{6\times 4221}{7\times 100}[/tex]
= [tex]\dfrac{25326}{700}[/tex]
= 36.18
Thus, the value of [tex]\dfrac{6}{7} \times 42.21[/tex]= 36.18