Question

the product of two fraction are207/25 if one of them is 46/15,find the 2nd one​

Answer 1

Product of Two Fraction=207/25

One Of the Number=46/15

Let Other be=x

So when We Multiply

x with 46/15 we should get 207/15

$\frac{46}{15} \times x = \frac{207}{25} \\ \\ x = \frac{207}{25} \times \frac{15}{46} \\ \\ x = \frac{ \cancel{207}}{5} \times \frac{3}{ \cancel{46} } \\ \\ x = \frac{9}{5} \times \frac{3}{2} \\ \\ x = \frac{27}{10}$

2nd Number Should be 27/10

CHECK

46/15×X=207/25

46/15×27/10

23/5×9/5

=207/25

Hence We got Product 207/25 by Multiplying 46/15 with 27/10

$\underline{\mathbf{\huge{Answer=\frac{27}{10}}}}$

Answer 2

GIVEN :-

The product of two fractions is 207/25.

One of those numbers is 46/15.

TO FIND :- The other number.

SOLUTION :-

Let the unknown number be y.

According to the question,

$\frac{46}{15} \times y = \frac{207}{25} \\ \\ \\ \implies \frac{46y}{15} = \frac{207}{25} \\ \\ \\ \implies \frac{46y}{1} = \frac{207}{25} \times 15 \\ \\ \\ \implies y = \frac{207}{25} \times \frac{15}{46} \\ \\ \\ \\ \implies y = \frac{9}{5} \times \frac{3}{2} \\ \\ \implies \: \boxed{y = \frac{27}{10} = 2.7 }$

So the unknown numbed is 27/10.

VERIFICATION :-

LHS = 27/10 × 46/15

= 9/5 × 23/5

= 207/25

= RHS

Hence our answer is correct