Question

2 4/5 - (-3 9/10) solve the equation in simplest form

Answer 1

Answer:

The answer is: $6\frac{7}{10}$

Step-by-step explanation:

1. We write out the equation

$2\frac{4}{5} - (-3\frac{9}{10} )$

2. Convert the fractions to have the same denominator

$2\frac{8}{10} - (-3\frac{9}{10} )$

3. We can change the sign to positive because a double negative cancels out

$2\frac{8}{10} + 3\frac{9}{10}$

4. Add the 2 + 3 = 5 and 8 + 9 = 17

$5\frac{17}{10}$

5. Simplify $\frac{17}{10}$ and you get $1\frac{7}{10}$. Then add that to 5. (5 + $1\frac{7}{10}$)

$6\frac{7}{10}$

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Answer 2

Concept:- Here, we are giving two mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub both the fractions so that we can get the answer.

Explanation:

{2(4/5)} - {-3(9/10)}

Convert all mixed fractions to proper fractions.

= {(10+4)/5} - {-(30+9)/3}

Now, add the both numerators which are in small bracket.

= (14/5) - (-39/3)

Take theLCM of 5 & 3 is 15.

= {(14*3)/(5*3)} - {-(39*5)/(3*5)}

Now, multiply the numerator and denominator of all fractions.

= (42/15) - (-195/15)

Write all numerators with common denominator.

= [{(42-(-195)}/15]

Add the fraction .ie, numerator and write it in simplest form.

= [{237/15}]

= 237/15

Now, cancel the fraction by dividing both numerator and denominator with 3.

= 79/3 → Proper fraction (Simplest form) Ans.

or,

Write the obtained answer in the form of mixed fraction.

= 79/3 = {15(4/5)}→ {Mixed fraction}

also read similar questions: Subtract and simplify. 12(5/6) - 5(1/6) The given options are (a) 6(1/3) (b) 5(2/3) (c) 7(1/3) (d) 7(2/3)..

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