Convert Mixed Number: Expressing 4⅖ as a Decimal

Question

425= 4\frac{2}{5}=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fractional part 25 \frac{2}{5} to a decimal by scaling the fraction.
  • Step 2: Add the decimal from the fraction to the whole number.

Let's go through each step in detail:
Step 1: Convert 25 \frac{2}{5} to have a denominator of 10.
To do this, multiply both the numerator and the denominator by 2:

2×25×2=410 \frac{2 \times 2}{5 \times 2} = \frac{4}{10}

This fraction, 410 \frac{4}{10} , is equivalent to the decimal 0.4 0.4 .

Step 2: Add this decimal to the whole number 4 4 :
4+0.4=4.4 4 + 0.4 = 4.4

Therefore, the decimal representation of 425 4\frac{2}{5} is 4.4 4.4 .

Answer

4.4 4.4