Question

12/13 + 14/7 add both these fractions​

Answer 1

• As per the data given in the question, we have to find the value of the expression.

        Given data:- $\frac{12}{13} +\frac{14}{7} .$

        To find:- Value of the given expression.

        Solution:-

• We will take the LCM of the denominators, and make denominators the same.

• We will Convert the given fractions to equivalent fractions with the denominator as the LCM.

• Adding the numerators over the denominators.

           $\begin{array}{l}\frac{12}{13}+\frac{14}{7} \\=\frac{12 \times 7}{13 \times 7}+\frac{14 \times 13}{7 \times 13} \\=\frac{84}{91}+\frac{182}{91} \\=\frac{84+182}{91} \\=\frac{266}{91} \\=\frac{266 \div 7}{91 \div 7}\\=\frac{38}{13} \end{array}$

     Hence we will get the fraction $\frac{38}{13} .$

Answer 2

Given: $12/13 + 14/7$

We have to add the above fractions.

• As we know that adding two or more numbers together is known as an addition.
• Addition as denoted by(+).

Properties of addition are as follows:

1. Identity property of zero.
2. Inverse property.
3. Commutative property.
4. Associative property.

We are solving in the following way:

We have,

$12/13 + 14/7$

$\Rightarrow \frac{12}{13} +\frac{14}{7} \\\\\Rightarrow \frac{12\times7+13\times14}{13\times7} \\\\\Rightarrow\frac{84+182}{91} \\\\\Rightarrow\frac{266}{91} \\\\\Rightarrow\frac{38}{13}$

Solving the above equation further we get,

$\Rightarrow \frac{38}{13}$

Hence, after adding both the above fractions we get, $\frac{38}{13}$