Subtract: 7 7/10-3 4/5 =

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 the relation 1 gallon =128 ounce to change 3 gallons to ounces as follows

\(3\ gallons\ast\frac{128\ ounces}{1\ gallon}=384\ ounces\)

Thus, 3 gallons is equal to 384 oz.

First convert the mixed fraction into improper fraction as follows

\(2 2/7=\frac{\left(2\ast7\right)+2}{7}=\frac{14+2}{7}=\frac{16}{7}\)

Then, multiply the fractions

7/16 x 2 2/7=\(\frac{\mathbf{7}}{\mathbf{16}}*\frac{\mathbf{16}}{\mathbf{7}}=1\)

16 cancels with 16 while 7 cancels with 7 and the result becomes 1.

First step is to find the least common divisor of denominators 3, 6, and 5 which is 30. Then

\(\frac{2}{3}+\frac{1}{6}+\frac{2}{5}=\frac{2\left(10\right)+5+2\left(6\right)}{30}\)\(=\frac{20+5+12}{30}=\frac{37}{30}=1\frac{7}{30}\)