The fractions 3/4 can be converted to a decimal, show the operation how

Answer 1

To convert the fraction \( \frac{3}{4} \) into a decimal, you can perform division:

1. Numerator (3) divided by Denominator (4):

   • Set up the division: 3.000 ÷ 4.
   • Since 3 is less than 4, we start with 0 and add a decimal point and a zero.

2. Perform the Division:

   • 4 goes into 30 (the first two digits after adding a decimal) seven times, since \( 4 \times 7 = 28 \).
   • Write down 7 after the decimal: \( 0.7 \).
   • Subtract \( 28 \) from \( 30 \): \( 30 - 28 = 2 \).
   • Bring down another 0 to make it 20.

3. Continue the Division:

   • 4 goes into 20 five times, because \( 4 \times 5 = 20 \).
   • Write down the 5: \( 0.75 \).
   • Subtract \( 20 - 20 = 0 \).

Since there is no remainder, you have now completed the division.

So, \( \frac{3}{4} \) as a decimal is \( 0.75 \).