Answer:
[tex]\bold{73\frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]6\frac{2}{3} \times 5 \frac{1}{4} \times 2 \frac{1}{10}[/tex]
Convert the mixed numbers to improper fractions: learn more: https://brainly.com/question/19236963
[tex]6\frac{2}{3}=\bold{\frac{20}{3}}[/tex]
[tex]5\frac{1}{4}=\bold{\frac{21}{4}}[/tex]
[tex]2\frac{1}{10}=\bold{\frac{21}{10}}[/tex]
[tex]\frac{20}{3}\times \frac{21}{4}\times \frac{21}{10}[/tex]
[tex]=\frac{20\times \:21\times \:21}{3\times \:4\times \:10}[/tex]
[tex]=\frac{4\times \:5\times \:21\times \:21}{3\times \:4\times \:10}[/tex]
[tex]=\frac{5\times \:21\times \:21}{3\times \:10}[/tex]
[tex]=\frac{21\times \:21}{3\times \:2}[/tex]
[tex]=\frac{3\times \:7\times \:21}{3\times \:2}[/tex]
[tex]=\frac{7\times \:21}{2}[/tex]
[tex]=\frac{147}{2}[/tex]
[tex]\bold{=73\frac{1}{2}}[/tex]
Given that:
{6(2/3)} × {5(1/4)} × {2(1/10)}
Convert all the three mixed fractions to improper fractions.
= {(18+2)/3} × {(20+1)/4} × {(20+1)/10}
= (20/3) × (21/4) × (21/10)
Now, take two fraction and multiply both numbers in bracket.
{(20/3) × (21/4)} × (21/10)
Now, multiply the numbers given in bracket.
= {(20×21)/(3×4)} × (21/10)
Multiply the numerator and denominator given in the bracket.
= (420/12) × (21/10)
Write the numbers in lowest form by cancellation method.
= {(420×21)/(12×10)} = {(82×4)/(7×5)}
Now, multiply the remaining numbers as they cannot be cancelled further.
= (328/35)
Write the obtained answer in the form of mixed fraction.
= (328/35) = {9(13/35)}
So, the answer when simplified is {9(13/35)}.
