Question

easy maths question
please solve fastly​

Answer 1

Step-by-step explanation:

this is the correct answer

Answer 2

Given :

$\boxed{\bf5\dfrac{5}{6}-3\dfrac{8}{9}-p=1}$

To Find :

The value of p.

Solution :

Analysis :

We can find the value of p using suitable identities and can evaluate as per the signs.

Explanation :

$\\ :\implies\sf5\dfrac{5}{6}-3\dfrac{8}{9}-p=1$

Transposing -p to RHS,

$\\ :\implies\sf5\dfrac{5}{6}-3\dfrac{8}{9}=1+p$

Converting mixed fraction to improper fraction,

$\\ :\implies\sf\dfrac{35}{6}-\dfrac{35}{9}=1+p$

Taking LCM of 6 and 9 = 18,

Dividing the denominator with the LCM and multiplying the numerator with thr quotient of denominator,

$\\ :\implies\sf\dfrac{105-70}{18}=1+p$

$\\ :\implies\sf\dfrac{35}{18}=1+p$

After cross multiplying,

$\\ :\implies\sf35=18(1+p)$

Expanding the brackets,

$\\ :\implies\sf35=18+18p$

Transposing 18 to LHS,

$\\ :\implies\sf35-18=18p$

After evaluation,

$\\ :\implies\sf17=18p$

$\\ :\implies\sf\dfrac{17}{18}=p$

$\\ \therefore\boxed{\bf p=\dfrac{17}{18}.}$

The value of p is 17/18.

Verification :

LHS :

$\\ :\implies\sf5\dfrac{5}{6}-3\dfrac{8}{9}-\dfrac{17}{18}-p$

Putting p = 17/18,

$\\ :\implies\sf\dfrac{35}{6}-\dfrac{35}{9}-\dfrac{17}{18}$

Taking LCM of 6 and 9 = 18,

Dividing the denominator with the LCM and multiplying the numerator with thr quotient of denominator,

$\\ :\implies\sf\dfrac{105-70}{18}-\dfrac{17}{18}$

$\\ :\implies\sf\dfrac{35}{18}-\dfrac{17}{18}$

Taking LCM of 18 and 18 = 1,

$\\ :\implies\sf\dfrac{35-17}{18}$

After evaluation,

$\\ :\implies\sf\dfrac{18}{18}$

$\\ :\implies\sf\cancel{\dfrac{18}{18}}$

$\\ \therefore\boxed{\bf1.}$

RHS :

$\\ \therefore\boxed{\bf1.}$

LHS = RHS.

• Hence verified.