Question

decimals 10.2+3/10+4/100=?

Answer 1

✰ Let's solve this question in two ways.

• By using fraction rules.

• By converting all the fractions into decimals and performing addition as usual.

⠀⠀⠀⠀⠀_____________

By using fraction rules :

$\longrightarrow \sf { 10.2 + \dfrac{3}{10} + \dfrac{4}{100}}$

Firstly we'll write 10.2 as fraction.

$\longrightarrow \sf { \dfrac{102}{10} + \dfrac{3}{10} + \dfrac{4}{100}}$

Now, by taking the L.C.M of 10, 10, and 100 we'll make the denominator same.

>> L.C.M of 10,10,100 is 100.

$\longrightarrow \sf { \dfrac{1020+30+4}{100} }$

Performing addition in numerator.

$\longrightarrow \sf { \dfrac{1054}{100} }$

Now, writing $\sf { \dfrac{1054}{100} }$ into decimals.

$\longrightarrow \sf { 10.54}$

$\to \boxed{ \pmb{ \rm \red { 10.2 + \dfrac{3}{10} + \dfrac{4}{100} = 10.54}}}$

Therefore, the answer is 10.54.

⠀⠀⠀⠀⠀_____________

By converting all the fractions into decimals and performing addition as usual.

$\longrightarrow \sf { 10.2 + \dfrac{3}{10} + \dfrac{4}{100}}$

$\dashrightarrow \bf { \dfrac{3}{10} = 0.3}$

$\dashrightarrow \bf { \dfrac{4}{100} = .04}$

So,

$\longrightarrow \bf{ 10.2 + 0.3 + .04 }$

$\large \boxed{ \begin{array}{cc} \: \: \: \: \: \: \: \: \: \sf{10.2} \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \sf{0.3} \: \: \: \\ \: \: \: \: \: \: \pmb {\red{+} } \: \: \sf{0.04} \: \: \\ \: \: \: \: \: \: \: \: \overline{ \sf{10.54}} \end{array}}$

$\longrightarrow \bf{ 10.54 }$

$\to \boxed{ \pmb{ \rm \red { 10.2 + \dfrac{3}{10} + \dfrac{4}{100} = 10.54}}}$

Therefore, the answer is 10.54.

Answer 2

Answer :

• The total sum is 10.54 ✓

Concept :

❥We can get the solution for the given problem in two ways :-

• Firstly, we'll convert all non-decimal numbers into decimal numbers and then find the sum of the three decimal numbers.
• Secondly, we'll convert the decimal numbers into fractions and then proceed obeying the basic rules of fractions.

Now, we're in the position to solve the given problem!

To find :

• 10.2+3/10+4/100

Step by step explanation :

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀First way :-

Step 1 ) Convert all the fraction numbers into decimal numbers.

$→$ 3/10 = 0.3

$→$ 4/100 = 0.04

Step 2 ) Add up the decimal numbers obtained from the step 1 along with given decimal number and we'll get the answer of the question.

0.3 + 0.04 + 10.2 ⇒ 10.54 ✔️

⠀⠀⠀ ⠀⠀⠀⠀⠀⠀Second way :-

Step 1 ) Convert all the decimals into fractions.

$→$ 10.2 = 102/10

• [ Don't reduce the above fraction into lowest form, otherwise it'll be difficult to calculate and to take the LCM. ]

Step 2 ) Take the LCM of the fraction numbers for adding them.

• Fractions = 102/10, 3/10 and 4/100

• LCM of the above three numbers = 100

Step 3 ) Convert the fraction into the fractions having denominator as 100.

$→$ 102/10 × 10/10 = 1020/100

$→$ 4/100 × 1/1 = 4/100, and

$→$ 3/10 × 10/10 = 30/100

Step 4 ) Add up the numbers obtained in step 3 and take the denomination 100 as common.

⇒ (1020+4+30)/100 = 1054/100

Step 5 ) Convert the number obtained in step 4 into the decimal number.

$→$ 1054/100 = 10.54 ✔️