19/16 as a Decimal

Answer

19/16 in decimals can be written as 1.1875. It is a terminating decimal, showing it will not repeat infinitely.

Explanation

To get 19/16 in decimal, we will use the division method. Here, 19 is larger than 16, so we will directly divide the numbers. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and the denominator because numerator (19) will be taken as the dividend and denominator (16) will be taken as the divisor.

Step 2: Divide 19 by 16. 16 goes into 19 once (16 × 1 = 16).

Step 3: Subtract 16 from 19, which gives a remainder of 3.

Step 4: As 3 is smaller than 16, bring down a 0 to make it 30.

Step 5: 16 goes into 30 once (16 × 1 = 16). Subtract 16 from 30 to get a remainder of 14.

Step 6: Bring down another 0 to make it 140.

Step 7: 16 goes into 140 eight times (16 × 8 = 128). Subtract 128 from 140 to get a remainder of 12.

Step 8: Bring down another 0 to make it 120.

Step 9: 16 goes into 120 seven times (16 × 7 = 112). Subtract 112 from 120 to get a remainder of 8.

Step 10: Bring down another 0 to make it 80.

Step 11: 16 goes into 80 five times (16 × 5 = 80), leaving no remainder. This process gives us the terminating decimal 1.1875.

• 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.