Question

What should be subtracted from -13/16 to get -7/12​

Answer 1

$\huge\mathfrak\blue{Answer:}$

Rational numbers:

• Rational numbers are the numbers which can be written in form of p/q where p and q are integers and q is not equal to zero
• For ex : 2/3, 5/3 etc.

Given:

• We have been given 2 rational numbers -13/16 and -7/12

To Find:

• We have to find the a number that should be subtracted from -13/16 to get -7/12

Solution:

Let the required number be = x

$\underline{\large\mathfrak\red{According \: to \: the \: Question:}}$

$\\ \implies \sf{\left ( -\dfrac{13}{16} \right ) - x = \left ( -\dfrac{7}{12} \right ) }$

$\implies \sf{ x = \left ( -\dfrac{13}{16} \right ) + \left ( \dfrac{7}{12} \right ) }$

$\implies \sf{ x = \left ( \dfrac{7}{12} - \dfrac{13}{16} \right ) }$

Taking LCM on RHS of Equation

$\\ \implies \sf{ x = \left ( \dfrac{7 \times 4 - 13 \times 3}{48} \right ) }$

$\implies \sf{ x = \left ( \dfrac{28 - 39}{48} \right ) }$

$\implies \boxed{\sf{ x = \left ( - \dfrac{11}{48} \right ) }}$

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$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

$\large\boxed{\sf{\purple{Required \: Number = - \dfrac{11}{48}}}}$

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