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Last updated on March 16th, 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, 37 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. 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.
37/5 in decimals can be written as 7.4. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 37/5 to a decimal, we will use the division method. Since 37 is greater than 5, we can directly divide it to get the decimal form. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (37) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide 37 by 5. Since 37 is larger than 5, we perform the division directly.
Step 3: 5 goes into 37 seven times (5 × 7 = 35), so we write 7 in the quotient place.
Step 4: Subtract 35 from 37, which gives us 2.
Step 5: Bring down a 0, making it 20, and divide by 5 again. 5 goes into 20 four times (5 × 4 = 20).
Step 6: Subtract 20 from 20, which gives us 0. The remainder is now 0, so the division ends here.
The answer for 37/5 as a decimal is 7.4.