Question

simplify 7/8 ÷ 5/4 +2/5 × 1/4 - 1/10​

Answer 1

Answer:

7/10

Step-by-step explanation:

7/8 divided by 5/4

=7/8 multiplied by 4/5 (through multiplicative inverse)

=7/10

=next step=2/5 multiplied by 1/4(bodmas)

=1/10

=7/10+1/10= 8/10

=finally= 8/10-1/10

= 7/10

Answer 2

★ Question:

$\sf{Simply:-} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf{\dfrac{7}{8} \div \dfrac{5}{4} + \dfrac{2}{5} \times \dfrac{1}{4} - \dfrac{1}{10}}$

★ Answer:

While simplifying we should remember the BODMAS rule.

B = Bracket

O = Of

D = Division

M = Multipcation

A = Addition

S = Subtraction

_____________________.....

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{8} \div \dfrac{5}{4} + \dfrac{2}{5} \times \dfrac{1}{4} - \dfrac{1}{10} }$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{8} \div \dfrac{4}{5} + \dfrac{2}{5} \times \dfrac{1}{4} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{ \cancel{8}} \times \dfrac{ \cancel{4}}{5} + \dfrac{2}{5} \times \dfrac{1}{4} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{2} \times \dfrac{1}{5} + \dfrac{2}{5} \times \dfrac{1}{4} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{10} + \dfrac{2}{5} \times \dfrac{1}{4} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{10} + \dfrac{ \cancel{2}}{5} \times \dfrac{1}{ \cancel{4}} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{10} + \dfrac{1}{5} \times \dfrac{1}{2} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{7}{10} + \dfrac{1}{10} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{(7 + 1)}{10} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{8}{10} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{ \cancel{8}}{ \cancel{10}} - \dfrac{1}{10}}$

$\sf{\pink{ \longrightarrow} \: \dfrac{4}{5} - \dfrac{1}{10}}$

Now, let's find out the L.C.M of 5 and 10

$\begin{gathered}\begin{gathered}\begin{array}{r|l}\sf2&\sf5,10\\\cline{2-2}\sf5&\sf5,5\\\cline{2-2}&\sf1,1\end{array}\end{gathered}\end{gathered}$

» 2 × 5

» 10

L.C.M of 5 and 10 is 10

$\sf{\pink{ \longrightarrow}\dfrac{(2 \times 4) - (1 \times 1)}{10}}$

$\sf{\pink{ \longrightarrow}\dfrac{8 - 1}{10}}$

$\sf{\pink{ \longrightarrow}\dfrac{7}{10}} \: \: \orange{ \star}$