Question

simplify 2 upon 3 : 16 upon 27​

Answer 1

Question ⤵️⤵️

simplify 2 upon 3 : 16 upon 27

Answer⤵️⤵️

2/3 : 16/27

2/3÷16/27

2/3×27/16

9/8

9:8

Answer 2

Answer:

\dfrac{2}{3}\times \dfrac{9}{16}\times \dfrac{4}{27}=\dfrac{1}{18}\quad \left(\mathrm{Decimal:\quad }\:0.05556\dots \right)

3

2

×

16

9

×

27

4

=

18

1

(Decimal:0.05556…)

Step-by-step explanation:

\dfrac{2}{3}\times \dfrac{9}{16}\times \dfrac{4}{27}

3

2

×

16

9

×

27

4

\mathrm{Multiply\:fractions}:\quad \dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a\:\times \:c}{b\:\times \:d}Multiplyfractions:

b

a

×

d

c

=

b×d

a×c

=\dfrac{2\times \:9\times \:4}{3\times \:16\times \:27}=

3×16×27

2×9×4

\mathrm{Multiply\:the\:numbers:}\:2\times \:9\times \:4=72Multiplythenumbers:2×9×4=72

=\dfrac{72}{3\times \:16\times \:27}=

3×16×27

72

\mathrm{Multiply\:the\:numbers:}\:3\times \:16\times \:27=1296Multiplythenumbers:3×16×27=1296

=\dfrac{72}{1296}=

1296

72

\mathrm{Cancel\:the\:common\:factor:}\:72Cancelthecommonfactor:72

=\dfrac{1}{18}=

18

1