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Last updated on March 13th, 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, 47 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. 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 fractional part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
47/16 in decimals can be written as 2.9375. It is a terminating decimal, meaning the division process ends after a certain point.
To get 47/16 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 (47) will be taken as the dividend and the denominator (16) will be taken as the divisor.
Step 2: Divide 47 by 16. The division gives 2 as the whole number since 16 × 2 = 32, and subtract 32 from 47, giving a remainder of 15.
Step 3: Bring down a 0 to make 150. Divide 150 by 16, which gives 9 (since 16 × 9 = 144). Subtract 144 from 150, leaving a remainder of 6.
Step 4: Bring down another 0 to make 60. Divide 60 by 16, which gives 3 (since 16 × 3 = 48). Subtract 48 from 60, leaving a remainder of 12.
Step 5: Bring down another 0 to make 120. Divide 120 by 16, which gives 7 (since 16 × 7 = 112). Subtract 112 from 120, leaving a remainder of 8.
Step 6: Bring down another 0 to make 80. Divide 80 by 16, which gives 5 (since 16 × 5 = 80), and this time, the remainder is 0.
The division process ends here, so the answer for 47/16 as a decimal will be 2.9375.