-3 5/16 as a Decimal

Answer

-3 5/16 in decimal form can be written as -3.3125. This is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert -3 5/16 to a decimal, follow these steps:

Step 1: Convert the mixed number -3 5/16 into an improper fraction. The mixed number consists of a whole number part (-3) and a fractional part (5/16).

Step 2: The improper fraction is calculated by multiplying the whole number (-3) by the denominator (16) and adding the numerator (5). This gives us (-3 × 16) + 5 = -48 + 5 = -43. The improper fraction is -43/16.

Step 3: Divide the numerator (-43) by the denominator (16) to get the decimal equivalent. Step 4: Perform the division: -43 ÷ 16 = -2.6875.

Therefore, -3 5/16 as a decimal is -3.3125.

• Mixed Number: A number made up of a whole number and a fraction.

• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.

• 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.