Question

Simplify 2 3/5+1 3/10-3 2/15

Answer 1

Answer:

23/30 is the answer

Step-by-step explanation:

• 2 3/5 = 13/5
• 1 3/10 = 13/10
• 3 2/15 = 47/15

2 3/5 + 1 3/10 - 3 2/15

= 13/5 + 13/10 + 47/15

= (13*6 + 13*3 - 47*2)/30

= (78 + 39 - 94)/30

= 23/30

Answer 2

Answer:

Required answer is $\frac{23}{30}$

Step-by-step explanation:

Given,

$2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}$

We want to simplify it.

By BODMAS rule, we can understand this concept.

By BODMAS rule,

Bracket - Of - Division - Multiplication - Addition - Subtraction

So,

$2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} \\ = \frac{5 \times 2 + 3}{5} + \frac{10 \times 1 + 3}{10} - \frac{15 \times 3 + 2}{15} \\ = \frac{13}{5} + \frac{13}{10} - \frac{47}{15} \\ = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} \\ = \frac{78 + 39 - 94}{30} \\ = \frac{23}{30}$

This is a problem of Simplication part of Algebra.

Some important Algebra formulas:

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Simplification related two more questions:

https://brainly.in/question/1813931

https://brainly.in/question/26916631

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