Question
Express $3\frac25$ as a decimal.
✓
Answer
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator $10$ or $100$ or $1000$ and then write its numerator and mark decimal point after one place on two place or three places from right towards left, if the denominator is $10$ or $100$ or $1000$ respectively.
If the numerator is short of digits, insert zeroes at the left of the numerator.
$\therefore3\frac25=\frac{5\times3+2}{5}$ $=\frac{17}{5}$
$\because$ Mixed fraction = Improper fraction $=\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}$
Now, $\frac{17\times2}{5\times2}=\frac{34}{10}=3.4$
$\therefore3\frac25=3.4$
If the numerator is short of digits, insert zeroes at the left of the numerator.
$\therefore3\frac25=\frac{5\times3+2}{5}$ $=\frac{17}{5}$
$\because$ Mixed fraction = Improper fraction $=\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}$
Now, $\frac{17\times2}{5\times2}=\frac{34}{10}=3.4$
$\therefore3\frac25=3.4$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
How quickly can you do this? Fill the appropriate sign. $('<', '=', '>')$
$\frac{2}{4} \square \frac{3}{6}$
→$\frac{2}{4} \square \frac{3}{6}$
The cost of $17$ chairs is $Rs. 9605$. Find the number of chairs that can be purchased in $Rs. 56500.$
→A recipe for raspberry jelly calls for $5$ cups of raspberry juice and $2\frac{1}{2}$ cups of sugar. Find the amount of sugar needed for 6 cups of the juice?
→Add: $\frac{4}{5}$ and $\frac{7}{15}$
→Simplify:
$ 5a - [a^2- {2a(1 - a + 4a^2) - 3a(a^2- 5a - 3)}] - 8a$
→$ 5a - [a^2- {2a(1 - a + 4a^2) - 3a(a^2- 5a - 3)}] - 8a$
Three rotis are shared equally by four children, show the division in the picture and write a fraction of how much each child gets. Also, write the corresponding division facts, addition facts, and, multiplication facts.
The fraction of roti each child gets is ___________
Division fact:
Addition fact:
Multiplication fact:
Compare your picture and answer with your classmates!
The fraction of roti each child gets is ___________
Division fact:
Addition fact:
Multiplication fact:
Compare your picture and answer with your classmates!
Name the following angles of Fig, using three letters:
$a.\ \angle1$
$b.\ \angle2$
$c.\ \angle3$
$d.\ \angle1 + \angle2$
$e.\ \angle2 + \angle3$
$f.\ \angle1 + \angle2 + \angle3$
$g.\ \angle\text{CBA} - \angle1$
→$a.\ \angle1$
$b.\ \angle2$
$c.\ \angle3$
$d.\ \angle1 + \angle2$
$e.\ \angle2 + \angle3$
$f.\ \angle1 + \angle2 + \angle3$
$g.\ \angle\text{CBA} - \angle1$
How many $7$-digit numbers are there in all?
→Suppose you start with 0 rupees in your bank account, and then you have credits of ₹ 30, ₹ 40, and ₹ 50, and debits of ₹ 40, ₹ 50, and ₹ 60. What is your bank account balance now?
The $L.C.M$ and $H.C.F$ of two numbers are $180$ and $6$ respectively. If ones of the numbers is $30$, find the other number.
→