7 3/16 as a Decimal

Answer

7 3/16 in decimals can be written as 7.1875. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 7 3/16 in decimal, we will convert the fraction part 3/16 into a decimal and add it to the whole number 7. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (16) will be the divisor.

Step 2: Divide 3 by 16. As 3 is smaller than 16, we will take the help of decimals. Add 0 to the dividend, which makes 3 as 30, and add a decimal point in the quotient place.

Step 3: Divide 30 by 16. 16 goes into 30 once, so write 1 in the quotient place. Subtract 16 from 30 to get 14.

Step 4: Bring down another 0, making it 140. Divide 140 by 16. 16 goes into 140 eight times, so write 8 in the quotient place. Subtract 128 from 140 to get 12.

Step 5: Bring down another 0, making it 120. Divide 120 by 16. 16 goes into 120 seven times, so write 7 in the quotient place. Subtract 112 from 120 to get 8.

Step 6: Bring down another 0, making it 80. Divide 80 by 16. 16 goes into 80 five times, so write 5 in the quotient place. Subtract 80 from 80 to get 0. The division process ends because the remainder is 0. The decimal for 3/16 is 0.1875.

Adding this to the whole number 7 gives us 7.1875.

• 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.