Question

6 whole 2/3+5 whole 1/6+5/8

Answer 1

Answer:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Result:

1 3/5 - 5/6 = 23/

30

≅ 0.7666667

Spelled result in words is twenty-three thirtieths.

Step-by-step explanation:

Conversion a mixed number 1 3/

5

to a improper fraction: 1 3/5 = 1 3/

5

= 1 · 5 + 3/

5

= 5 + 3/

5

= 8/

5

To find a new numerator:

a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/

5

= 5/

5

b) Add the answer from previous step 5 to the numerator 3. New numerator is 5 + 3 = 8

c) Write a previous answer (new numerator 8) over the denominator 5.

One and three fifths is eight fifths

Subtract: 8/

5

- 5/

6

= 8 · 6/

5 · 6

- 5 · 5/

6 · 5

= 48/

30

- 25/

30

= 48 - 25/

30

= 23/

30

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 both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight fifths minus five sixths = twenty-three thirtieths.

Answer 2

To find : value of  $6\frac{2}{3} + 5 \frac{1}{6} + \frac{5}{8}$

Solution :

• Adding two or more numbers together is known as an addition.
• Addition as denoted by (+).
• Properties of addition are as follows

1. Identity property of zero.
2. Inverse property.
3. Commutative property.
4. Associative property.

• Firstly we convert mixed fraction into improper fraction .
• $6\frac{2}{3} + 5 \frac{1}{6} + \frac{5}{8}$

       $= \frac{20}{3} +\frac{31}{6} + \frac{5}{8} \\\\= \frac{299}{24}$

Hence , value of  $6\frac{2}{3} + 5 \frac{1}{6} + \frac{5}{8}$  is $\frac{299}{24}$ .

Note :

Question for above solution must be :  find the value of $6\frac{2}{3} + 5 \frac{1}{6} + \frac{5}{8}$