What is 7/4 as a decimal?
A decimal number can be defined as a number whose whole number part and the fractional part are separated by a decimal point. For example, 2.3 is a decimal number in which 2 is a whole number part and 3 is a fractional part.
Answer: 7/4 as a decimal is 1.75.
Let's look into the two methods to write 7/4 as a decimal.
Explanation:
Method 1: Writing 7/4 as a decimal using the division method.
To convert any fraction to decimal form, we just need to divide its numerator by denominator.
Here, the fraction is 7/4 which means we need to perform 7 ÷ 4.
Since the dividend is not perfectly divisible, we have to put the decimal in the quotient.
By proceeding with the long division method we have obtained 7/4 as a decimal is 1.75.
Method 2: Writing 7/4 as a decimal by converting the denominator to powers of 10.
Step 1: Find a number that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on.
Step 2: Multiply both numerator and denominator by that number to convert it into an equivalent fraction.
Step 3: Then write down just the numerator, putting the decimal point in the correct place, that is, one space towards the left starting from the right-hand side for every zero in the denominator.
7/4 = (7 × 25) / (4 × 25) = 175/100 = 1.75
Irrespective of the methods used, the answer to 7/4 as a decimal will always remain the same.
You can also verify your answer using Cuemath's fraction to decimal calculator.