Question

3/4 + 1/2 * 5/2 - 2/3 * 7/8 * 4/5​

Answer 1

Answer:

77 /48

Step-by-step explanation:

Given => 3/4 + 1/2

so find the LCM of the FRACTION =>

that is => 4

so we multiply our denominator to get 4

1/2 * 2/2 = 2/4

so we get 3/4 + 2/4 = 5/4

Next we have given that 5/2 - 2/3  

so find the LCM of the FRACTION =>

that is  => 6

so we multiply our denominator to get 6

5/2 * 3/3 = 15/6   and  2/3 * 2/2 = 4/6

so we get 15/6 - 4/6 = 11/6

Next we have given that WE NEED TO MULTIPLY THE NUMBERS...

            LETS SEE...

5/4 * 11/6 * 7/8 * 4/5  = >>  HERE WE MIGHT GET CONFUSED SO LETS              

                                              SEPARATE THEM LIKE THIS =>>

                       

                               5/4 * 11/6 = 55/24

                               7/8 *  4/5 = Here we would cut 4 and 8 that will  be 2

                                it would become 7/2 * 1/5 = 7/10  

Finally we get two numbers => 55/24 * 7/10

                                                 => 385/240

we will reduce in lowest form that is =>> 77 /48

so your answer is 77/48

plz mark me the brainliest....

Answer 2

Answer:

=> $\frac{23}{15}$

Step-by-step explanation:

Given expression:-

$\frac{3}{4}+\frac{1}{2} \times \frac{5}{2}-\frac{2}{3} \times \frac{7}{8} \times \frac{4}{5}$

We have to simplify the above expression,

Multiply $\frac{1}{2}\times \frac{5}{2}$ ,

$=>\frac{3}{4}+\frac{1 \times 5}{2 \times 2}-\frac{2}{3} \times\left(\frac{7}{8}\right) \times\left(\frac{4}{5}\right)$

Now, by doing the multiplications in the fraction $\frac{1 \times 5}{2 \times 2}.$

$=>\frac{3}{4}+\frac{5}{4}-\frac{2}{3} \times\left(\frac{7}{8}\right) \times\left(\frac{4}{5}\right)$

As we see that $\frac{3}{4} and \frac{5}{4}$ have the same denominator, add them by adding their numerators.

$=>\frac{3+5}{4}-\frac{2}{3} \times\left(\frac{7}{8}\right) \times\left(\frac{4}{5}\right)$

Add $3$ and $5$,

$=>\frac{8}{4}-\frac{2}{3} \times\left(\frac{7}{8}\right) \times\left(\frac{4}{5}\right)$

Divide 8 by 4,

$=>2-\frac{2}{3} \times\left(\frac{7}{8}\right) \times\left(\frac{4}{5}\right)$

Multiply $\frac{2}{3}\times \frac{7}{8}$ ,

$=>2-\frac{2 \times 7}{3 \times 8} \times\left(\frac{4}{5}\right)$

$=>2-\frac{14}{24} \times\left(\frac{4}{5}\right)$

Reduce the fraction $\frac{14}{24}$ to the lowest terms by extracting and canceling out.

$=>2-\frac{7}{12} \times\left(\frac{4}{5}\right)$

Multiply $\frac{7}{12}\times \frac{4}{5}$ ,

$=>2-\frac{7 \times 4}{12 \times 5}$

$=>2-\frac{28}{60}$

Reduce the fraction $\frac{28}{60}$ to the lowest terms by extracting and canceling out.

$=>2-\frac{7}{15}$

Convert $2$ to the fraction $\frac{30}{15}.$

$=>\frac{30}{15}-\frac{7}{15}$

Since $\frac{30}{15}$ and $\frac{7}{15}$ have the same denominator,  

$=>\frac{30-7}{15}$

Subtract $7$ from $30$ to get $23$.

$=>\frac{23}{15}$

Hence, the required solution is $\frac{23}{15}$.