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104 LearnersLast updated on March 13th, 2025
-3 5/16 as a Decimal
This is a straightforward question about converting fractions to decimals. To do so, we need to understand both fractions and decimals. A fraction represents a portion of a whole and consists of two parts: the numerator (the top number), which indicates how many parts we have, and the denominator (the bottom number), which indicates how many parts make up the whole. A decimal is a way to express non-whole numbers using a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, while those to the right represent the fractional part.
What is -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.
Important Glossaries for -3 5/16 as a decimal
- 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.
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