Question

the product of two fractions os 65/2 if one of them is 35/4.find the other​

Answer 1

Question:-

the product of two fractions os 65/2 if one of them is 35/4.find the other

Answer:-

• The value of x is 26/7.

Solution:-

$\large{\tt:\implies\: \: \: \: \: \: \: \: {} \frac{35}{4} \times x = \frac{65}{2} }$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {}x = \frac{65}{2} \div \frac{35}{4} }$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {}x = \frac{65}{2} \times \frac{4}{35} }$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {}x = \frac{13 \times 2}{7} }$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {}x = \frac{26}{7} }$

• The value of x is 26/7.

$\pink{ \mathbb{ \large{ \underline{ \underline{VERIFICATION}}}}}$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {} \frac{35}{4} \times \frac{26}{7} = \frac{65}{2} }$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {} \frac{5 \times 13}{2} = \frac{65}{2} }$

$\large{\tt:\implies\: \: \: \: \: \: \: \: {} \frac{65}{2} = \frac{65}{2} }$

HENCE VERIFIED!!

Answer 2

Given

• The product of two fractions is 65/2.
• One fraction is 35/4.

To find

• The other fraction.

Solution

• Let the other fraction be x.

$\sf\pink{⟶}$ Now, as given in the question that product of two fractions is 65/2.

★ According to the question

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{35}{4} \times x = \dfrac{65}{2}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{35x}{4} = \dfrac{65}{2}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {35x \times 2 = 65 \times 4}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {70x = 260}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{260}{70}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{26}{7}}$

⠀

• Other fraction is 26/7.

━━━━━━━━━━━━━━━━━━━━━━