Question

simplify 7/24 +5/12 -11/18​

Answer 1

Answer:

$\sf\:The\:value\:of\:\frac{7}{24}\:+\:\frac{5}{12}\:-\:\frac{11}{18}\:is\\\:\boxed{\red{\sf\:\frac{7}{72}}}$

Step-by-step-explanation:

We have given that,

$\sf\:\frac{7}{24}\:+\:\frac{5}{12}\:-\:\frac{11}{18}\\\\\implies\sf\:(\:\frac{7}{24}\:+\:\frac{5\:\times\:2}{12\:\times\:2}\:)\:-\:\frac{11}{18}\:\:\:[\:Equating\:the\:denominator\:]\\\\\implies\sf\:(\:\frac{7}{24}\:+\:\frac{10}{24}\:)\:-\:\frac{11}{18}\\\\\implies\sf\:\dfrac{7\:+\:10}{24}\:-\:\frac{11}{18}\\\\\implies\sf\:\frac{17}{24}\:-\:\frac{11}{18}\\\\\implies\sf\:\dfrac{17\:\times\:18\:-\:11\:\times\:24}{24\:\times\:18}\\\\\implies\sf\:\dfrac{306\:-\:264}{432}\\\\\implies\sf\:\frac{\cancel{42}}{\cancel{432}}\\\\\implies\sf\:\frac{\cancel{14}}{\cancel{144}}\\\\\implies\boxed{\red{\sf\:\frac{7}{72}}}$

Additional Information:

1. Fraction:

Any rational number in the form of $\sf\:\frac{p}{q}$ is called as a fraction.

2. Types of fraction:

There are three types of fraction:

A. Proper fraction

B. Improper fraction

C. Mixed fraction

3. Proper fraction:

In this type of fraction, the numerator is less than the denominator.

4. Improper fraction:

In this type of fraction, the denominator is less than the numerator.

In this type of fraction, numerator is also equal to denominator sometimes.

5. Mixed fraction:

In this type of fraction, there is a whole number with a proper fraction.

6. BODMAS Rule:

BODMAS stands for Brackets, Operation, Division, Multiplication, Addition and Subtraction.

While solving such problems, BODMAS rule is used.

In case of brackets, first Simple bracket, Square bracket and Curlie bracket, this sequence is followed while solving such problems.

7. Rules of Addition and Subtraction, Multiplication, Division of Integers:

1. ( - ) + ( + ) = Subtraction and the sign of number which is greater.

2. ( - ) - ( - ) = Addition and ( - ) sign.

3. ( + ) × ( + ) = ( + )

4. ( - ) × ( + ) = ( - )

5. ( + ) ÷ ( + ) = ( + )

6. ( - ) ÷ ( + ) = ( - )

Answer 2

$\implies$ $\LARGE\sf\frac{7}{24}\:+\: \frac{5}{12}\:-\: \frac{11}{18}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ $\LARGE\sf\frac{7}{24}\:+\: \frac{5\:x\:2}{12\:x\:2}\:-\: \frac{11}{18}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ $\LARGE\sf\frac{7}{24}\:+\: \frac{10}{24}\:-\: \frac{11}{18}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ $\LARGE\sf\frac{7\:+\:10}{24}\:-\: \frac{11}{18}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ $\LARGE\sf\frac{17\:x\:18\:-\:11\:x\:24}{24\:x\:18}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ $\LARGE\sf\frac{264\:-\:306}{432}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$$\LARGE\sf\frac{7}{72}$