Multiply: 1/2 x 1 3/5 x 2 7/9=

A ration of the form a:b=c:d is converted to a proportion as\(\frac{a}{b}=\frac{c}{d}\)where b and d are not equal to zero. Now applying the same concept to3:10=12:X yields,

\(\frac{3}{10}=\frac{12}{X}\)

Find the value of X by cross-product

\(3X=12\ast10\)

Divide both sides by 3

\(\frac{3X}{3}=\frac{120}{3}\)

\(X=40\)

Thus, the value of X is 40.

A ratio of the form a:b=c:d converted to a proportion equation becomes\(\frac{a}{b}=\frac{c}{d}\)where\(a\ and\ d\neq0\)

Thus, 9:X=5:300 becomes

\(\frac{9}{X}=\frac{5}{300}\)

Cross-multiply to find the value of X

\(9\ast300=5X\)

\(2700=5X\)

Rearranging the above equation

\(5X=2700\)

Divide each side by 5

\(\frac{5X}{5}=\frac{2700}{5}\)

\(X=540\)

The value of X is 540.

First convert the mixed fractions into improper fractions as follows

1 3/5=\(\frac{\left(5\ast1\right)+3}{5}=\frac{5+3}{5}=\frac{8}{5}\)

2 7/9=\(\frac{\left(9\ast2\right)+7}{9}=\frac{18+7}{9}=\frac{25}{9}\)

Then, multiply the fractions

1/2 x 1 3/5 x 2 7/9=\(\frac{1}{2}\ast\frac{8}{5}\ast\frac{25}{9}=\frac{20}{9}\)

As a mixed fraction 20/9 becomes 2 2/9

Use 1 pint =16 ounces to convert between pints and ounces

\(56\ ounces\ast\frac{1\ pint}{16\ ounces}=\frac{7}{2}\ ounces=3.5\ ounces\)