Question

add the rational numbers -7/12+3/4​

Answer 1

Answer:

1/6 or 0.16..

Step-by-step explanation:

-7/ 12 + 3/4

= -7/12 +(3/4)×3

= -7/12 + 9/12

= (-7+9)/12

= 2/12

= 1/6 or 0.16..

Answer 2

Given :

• -7/12 + 3/4

To Find :

• Addition of Rational numbers

Algorithm :

1. Find the LCM of the denominators of all the numbers involved.
2. Divide the LCM by the denominator of the first rational number and get a quotient.
3. Multiply the first numerator by the quotient obtained in step 2 and get an integer.
4. Repeat step 2 and 3 for the remaining rational numbers in the sum and obtain integers.
5. Retain the given symbols of addition and subtraction between the given rationals and get an expression involving integers. Simplify this expression and get an integer.
6. Obtain the required sum equal to the rational number whose numerator is equal to the integer obtained in step 5 and denominator equal to the LCM obtained in in step 1. Reduce this number to the lowest form if it is not already so.

Solution :

${:} \longrightarrow \sf \dfrac{ - 7}{12} \: + \: \dfrac{3}{4}$

${:} \longrightarrow \sf \dfrac{ - 7 \: \times \: 1}{12 \: \times \: 1} \: + \: \dfrac{3 \: \times \: 3}{4 \: \times \: 3}$

${:} \longrightarrow \sf \dfrac{ - 7 }{12} \: + \: \dfrac{9}{12}$

${:} \longrightarrow \sf \dfrac{ - 7 \: + \: 9 }{12}$

$\blue \bigstar \: {\underline \orange {\boxed{\mathcal {\pmb{\color{red}\quad \dfrac{2}{12} \quad}}}}} \: \: \blue \bigstar$

Thus Required answer is 2/12

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