3/5n + 1/2 + 1/5 + n =

1/10 - 1/2x - 1/8 =

1/5 - 4 =

1. 8n/5+7/10

2. -x/2-1/40

3. -19/5(-3 4/5)

3

Step-by-step explanation: Subtract

1 over 5

1

5

− 4 = negative 19 over 5−  

19

5

Step 1 of 2: Subtract, sub-step a: Convert integer to fraction.

Convert integer to fraction

4 = 4 over 1

4

1

Step 1 of 2: Subtract, sub-step b: Find common denominator.

Find common denominator

1 over 5

1

5

− 4 over 1

4

1

= ( 1 × 1 ) over ( 5 × 1 )

1 × 1

5 × 1

− ( 4 × 5 ) over ( 1 × 5 )

4 × 5

1 × 5

= 1 over 5

1

5

− 20 over 5

20

5

5 is the least common multiple of denominators 5 and 1. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Subtract.

Subtract

1 over 5

1

5

− 20 over 5

20

5

= ( 1 − 20 ) over 5

1 − 20

5

= negative 19 over 5−  

19

5

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

negative 19 over 5−  

19

5

= negative 3 and 4 over 5− 3

4

5

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 19 and 5. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

negative 19 over 5−  

19

5

= negative 3 and 4 over 5− 3

4

5

19 ÷ 5 = 3 remainder 4

Step 2 of 2: Simplify.

−  

19

5

= negative 3 and 4 over 5− 3

4

5

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 19 and 5. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

negative 19 over 5−  

19

5

= negative 3 and 4 over 5− 3

4

5

19 ÷ 5 = 3 remainder 4

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: