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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 35 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
35/4 in decimals can be written as 8.75. It is a terminating decimal, meaning it does not repeat infinitely.
To get 35/4 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (35) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 35 by 4.
Step 3: 4 goes into 35 eight times (4 × 8 = 32), which means we write 8 in the quotient place.
Step 4: Subtract 32 from 35, which gives 3.
Step 5: Bring down a 0 to make it 30, then divide by 4.
Step 6: 4 goes into 30 seven times (4 × 7 = 28). Subtract 28 from 30, which gives 2.
Step 7: Bring down another 0 to make it 20, then divide by 4.
Step 8: 4 goes into 20 five times (4 × 5 = 20). Subtract 20 from 20, which gives 0. The division process ends here without any remainder.
The answer for 35/4 as a decimal is 8.75.