Question

the product of two fraction is 12 3/5 if one of the fraction is 2 1/7 find the others

Answer 1

GIVEN :-

• The product of two fraction is 12 (3/5)
• One of the fraction is 2 (1/7)

TO FIND :-

• The other fraction.

SOLUTION :-

❃ Let the other fraction be x

A.T.Q

$\implies \sf 2 \dfrac{1}{7} \times x \: = 12 \dfrac{3}{5} \\ \\ \implies \sf \: \dfrac{15}{7} \times x = \dfrac{63}{5} \\ \\ \implies \sf \: x = \dfrac{63}{5} \div \dfrac{15}{7} \\ \\ \implies \sf \: x \: = \dfrac{63}{5} \times \dfrac{7}{15} \\ \\ \implies \sf \:x = \dfrac{441}{75} \\ \\ \implies \boxed{ \red{ \bf{5 \dfrac{66}{75} }}}$

Hence the other fraction is 5 (66/75).

ADDITIONAL INFORMATION :-

➣ Rational numbers :- Any number which can be expressed in the form of p/q where p and q are integers and q ≠ 0

Example :- 9/8 , 0/4

➣ Whole numbers :- The natural numbers along with zero (0) are known as whole numbers .

Example :- 0,1,2,3

➣ Integers :- All positive (+) and negative (-) natural numbers along with 0 are called Integers.

Example :- -5 , -4

Answer 2

Question:

The product of two fraction is $12 \dfrac{3}{5}$ if one of the fraction is $2 \dfrac{1}{7}$find the others.

To find:

★ The other fraction.

Given :

★ The product of two fraction is $12 \dfrac{3}{5}$ .

★ One of the fraction is $2 \dfrac{1}{7}$ .

Answer:

The other fraction is $\underline{\:\underline{\:\sf\pink{\bf{5 \dfrac{66}{75}}}\:} \:}$.

Step-by-step explanation:

Let the other fraction be x

$\longmapsto 2 \dfrac{1}{7} \times x \: = 12 \dfrac{3}{5}$

$\longmapsto \: \dfrac{15}{7} \times x = \dfrac{63}{5}$

$\longmapsto \large \: x = \dfrac{ \frac{63}{5} }{ \frac{15}{7} }$

$\longmapsto\: x \: = \dfrac{63}{5} \times \dfrac{7}{15}$

$\longmapsto \:x = \dfrac{441}{75}$

Given the numbers are in mixed form,

So changing $x = \dfrac{441}{75}$ to mixed form.

$\longmapsto \boxed{x = 5 \dfrac{66}{75} }$

$\therefore$The other fraction is $\bf{\underline{\:5 \dfrac{66}{75}}\:}$.

Additional information :

★ Mixed fraction:

A mixed number is a combination of a whole number and a fraction.

Example :- $x = 5 \dfrac{17}{6}$.

★ Proper fraction:

A fraction where the numerator is less than the denominator .

Example: $x = \dfrac{1}{3}$ .