Solve the equation
-3 2/3+b = 8 1/5
b= 5 3/5
b= 4 4/5
b= 11 3/5
b= 11 1/5

 11 13/15

Step-by-step explanation:

-3 2/3+b = 8 1/5

Add 3 2/3 to each side

-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3

b = 8 1/5 + 3 2/3

We need to get a common denominator of 15

8 1/5 = 8 3/15

3 2/3 = 3 10/15

             11 13/15

Result:

3 1/8 + 2 3/8 - 1 1/4 = 17

4

= 41

4

= 4.25

Spelled result in words is seventeen quarters (or four and one quarter).

How do you solve fractions step by step?

Conversion a mixed number 3 1

8

to a improper fraction: 3 1/8 = 3 1

8

= 3 · 8 + 1

8

= 24 + 1

8

= 25

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8

8

= 24

8

b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25

c) Write previous answer (new numerator 25) over the denominator 8.

Three and one eighth is twenty-five eighths

Conversion a mixed number 2 3

8

to a improper fraction: 2 3/8 = 2 3

8

= 2 · 8 + 3

8

= 16 + 3

8

= 19

8

To find new numerator:

a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8

8

= 16

8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths

Add: 25

8

+ 19

8

= 25 + 19

8

= 44

8

= 4 · 11

4 · 2

= 11

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step cancelling by a common factor of 4 gives 11

2

.

In words - twenty-five eighths plus nineteen eighths = eleven halfs.

Conversion a mixed number 1 1

4

to a improper fraction: 1 1/4 = 1 1

4

= 1 · 4 + 1

4

= 4 + 1

4

= 5

4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4

4

= 4

4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters

Subtract: the result of step No. 3 - 5

4

= 11

2

- 5

4

= 11 · 2

2 · 2

- 5

4

= 22

4

- 5

4

= 22 - 5

4

= 17

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - eleven halfs minus five quarters = seventeen quarters.