7/16 as a Decimal

Answer

7/16 in decimals can be written as 0.4375. It is a terminating decimal, meaning it has an end point.

Explanation

To convert 7/16 to a decimal, we will use the division method. Since 7 is smaller than 16, we use the decimal method to find the result. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: As 7 is smaller than 16, it can't be divided directly. Here, we will use decimals. We will add 0 to the dividend, making 7 as 70 and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 16. Let's see how many times 16 fits into 70.

Step 4: 16 goes into 70 four times (16 × 4 = 64). We write 4 in the quotient place and subtract 64 from 70, which gives 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and then divide again.

Step 6: 16 goes into 60 three times (16 × 3 = 48). Write 3 in the quotient and subtract 48 from 60, leaving 12.

Step 7: Bring down another 0 to make it 120, and divide again.

Step 8: 16 goes into 120 seven times (16 × 7 = 112). Write 7 in the quotient and subtract 112 from 120, leaving 8.

Step 9: Bring down another 0 to make it 80, and divide again.

Step 10: 16 goes into 80 five times (16 × 5 = 80). Write 5 in the quotient, leaving no remainder.

The answer for 7/16 as a decimal is 0.4375.

• 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.