Question

PLEASE ANSWER IF YOU KNOW I WILL FOLLOW.solve using appropriate properties of rational numbers ​

Answer 1

➤ Answer :-

${\tt \longrightarrow \dfrac{7}{9} \times \dfrac{12}{5} + \dfrac{7}{9} \times \dfrac{3}{14}}$

Here, note that we have the same two fractions i.e, ${\tt\dfrac{7}{9}}$, so we should add other two fractions and multiply the obtained value with ${\tt\dfrac{7}{9}}$...........

$\tt \longrightarrow \dfrac{7}{9} \times \bigg(\dfrac{12}{5} + \dfrac{3}{14} \bigg)$

Convert them into like fractions by taking the LCM of the denominators i.e, 5 and 14................

LCM of 5 and 14 is 70.

$\tt \longrightarrow \dfrac{12 \times 14}{5 \times 14} + \dfrac{3 \times 5}{14 \times 5}$

${\tt \longrightarrow \dfrac{168}{70} + \dfrac{15}{70} = \dfrac{168 + 15}{70}}$

${\tt \longrightarrow \dfrac{183}{70} = 2 \dfrac{43}{70}}$

Now,

${\tt \longrightarrow \dfrac{7}{9} \times 2 \dfrac{43}{70}}$

${\tt \longrightarrow \dfrac{7}{9} \times \dfrac{183}{70} = \dfrac{7 \times 183}{9 \times 70}}$

${\tt \longrightarrow \cancel\dfrac{1281}{630} = \dfrac{427}{210} = 2 \dfrac{7}{210}}$

$\Huge\therefore$ The answer is ${\tt 2 \dfrac{7}{210}}$

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More to know.................

• While adding or subtracting the fractions, if the given fractions are mixed fractions we should convert them into improper fractions by multiplying the denominator and whole number and then by adding the numerator.
• While adding or subtracting the fractions, if the given fractions are unlike fractions we should convert them into like fractions by taking the LCM of the denominators.
• While adding or subtracting the fractions, if the given fractions are like fractions we can solve them easily.