35/16 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 35/16 as a decimal?

$35/16 as a decimal$

Answer

35/16 in decimals can be written as 2.1875. It is a terminating decimal, meaning it does not repeat the same digit infinitely.

Explanation

To convert 35/16 into decimal, we will use the division method. Here, since 35 is larger than 16, we can directly divide without initially needing a decimal. 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 (16) will be taken as the divisor.

Step 2: Divide 35 by 16. Since 16 goes into 35 twice, write 2 in the quotient place. Multiply 2 by 16 to get 32.

Step 3: Subtract 32 from 35, giving a remainder of 3.

Step 4: Bring down a 0 to make it 30. Now divide 30 by 16. 16 goes into 30 once. Write 1 in the quotient place. Multiply 1 by 16 to get 16.

Step 5: Subtract 16 from 30, leaving a remainder of 14.

Step 6: Bring down another 0, making it 140. Divide 140 by 16. 16 goes into 140 eight times. Write 8 in the quotient place. Multiply 8 by 16 to get 128.

Step 7: Subtract 128 from 140, resulting in 12.

Step 8: Bring down another 0 to make it 120. Divide 120 by 16. 16 goes into 120 seven times. Write 7 in the quotient place. Multiply 7 by 16 to get 112.

Step 9: Subtract 112 from 120, leaving 8.

Step 10: Bring down another 0 to make it 80. Divide 80 by 16. 16 goes into 80 five times. Write 5 in the quotient place. Multiply 5 by 16 to get 80. Step 11: Subtract 80 from 80, leaving no remainder.

The answer for 35/16 as a decimal is 2.1875.

Important Glossaries for 35/16 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.