Question

8/9×4/5+5/6-9/5×8/9​

Answer 1

Answer:

hello

Step-by-step explanation:

8/9 × 4/5 =. 32/20

=. 16/10

=. 8/5

8/5 + 5/6 - 9/5 × 8/9.

9/5 × 8/9.

=. 72/45

=. 24/15

=. 8/5.

8/5 + 5/6 - 8/5.

8/5+5/6

:-. 8/5×6/6 + 5/6 ×5/5

:-. 48/30. +. 25/30

=. 73/ 30

The answer is 73/30 . Thank you ☺

Answer 2

Question

$\sf{ \frac{8}{9}\times \frac{4}{5}+\frac{5}{6}-\frac{9}{5}\times \frac{8}{9} }$

Method Required To Solve

We need to apply the method of BODMAS. BODMAS is a mathematical operation which tells us in which order a question or problem should be solved. BODMAS is an acronym for Brackets, Of, Division, Multiplication, Addition and Subtraction.

Step-By-Step Solving

Step 1: Multiply the fractions.

$\sf{ \frac{8}{9}\times \frac{4}{5}+\frac{5}{6}-\frac{9}{5}\times \frac{8}{9} }$

$\sf {\frac{32}{45}+\frac{5}{6}-\frac{8}{5} }$

Step 2: Add the fractions.

To add fractions we need to first find the LCM of the denominators.

$\sf { \begin{array}{r | l} 3 & 45, 6 \\ \cline{2-2} & 15,2 \\\end{array}}$

LCM of 45 and 6 is 90.

Now we have to make the denominators equal and add.

$\sf {\frac{32}{45}+\frac{5}{6}-\frac{8}{5} }$

$\sf {\frac{32\times 2 }{45\times 2 }+\frac{5\times 15 }{6\times 15 }-\frac{8}{5} }$

$\sf {\frac{64}{90}+\frac{75}{90}-\frac{8}{5} }$

$\sf{\frac{139}{90}-\frac{8}{5} }$

Step 3: Subtract the fractions.

To subtract fractions we need to first find the LCM of the denominators.

$\sf { \begin{array}{r | l} 5 & 90, 5 \\ \cline{2-2} & 18,1 \\\end{array}}$

LCM of 90 and 5 is 90.

Now we have to make the denominators equal and subtract.

$\sf{\frac{139}{90}-\frac{8}{5} }$

$\sf{\frac{139}{90}-\frac{8\times 18 }{5\times 18 } }$

$\sf{\frac{139}{90}-\frac{144}{90} }$

$\sf { \frac{-5}{90} }$

$\sf { \frac{-1}{18} }$

∴ $\sf{ \frac{8}{9}\times \frac{4}{5}+\frac{5}{6}-\frac{9}{5}\times \frac{8}{9}=\frac{-1}{18} }$