Question

By what rational number should the sum of 4/7 and -6/11 be divided to get 11/30​

Answer 1

Step-by-step explanation:

${\LARGE{\mathfrak{\fbox{\orange{Question :→}}}}}$

By what rational number should the sum of 4/7 and -6/11 be divided to get 11/30 ?

${\LARGE{\mathfrak{\fbox{\orange{Solution :→}}}}}$

Let's find the sum of given rational numbers,

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{4}{7} \: + \: \frac{-6}{11}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:\frac{44 \: + \: (-42)}{77}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:\frac{44 \: - \: 42}{77}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:\frac{2}{77}}}}$

Let's take the unknown rational number be x

According to question,

${\bold{\sf{: \: ⟹ \: \: \: \: \:x \: ÷ \: \frac{2}{77} \: \: = \: \: \frac{11}{30}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:x \: = \: \frac{2}{77} \: ÷ \: \frac{11}{30}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:x \: = \: \frac{2}{77} \: × \: \frac{30}{11}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:x \: = \: \frac{60}{847}}}}$

$\\ {\bold{\sf{\underline{Let's \: verify \: the \: answer,}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:\frac{2}{77} \: ÷ \: \frac{69}{847}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:\frac{2}{77} \: × \: \frac{847}{60}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \:\frac{11}{30}}}}$

Answer 2

Answer:

$\huge \mathcal \colorbox{lavender}{ \pink{ Your Answer}}$

Let's find the sum of given rational numbers:-

➡$\frac{4}{7} + \frac{ - 6}{11} </h3><h3></h3><h3>➡[tex] \frac{44 + ( - 42)}{77}$

➡$\frac{44 - 42}{77}$

➡$\frac{2}{77}$

Let's take the unknown rational number be "X".

➡$x \div \frac{2}{7} = \frac{11}{30}$

➡$x = \frac{2}{77} \div \frac{11}{30}$

➡$x = \frac{2}{77} \times \frac{30}{11}$

➡$x = \frac{60}{847}$

In some place scroll to right slightly to get your answer.