Problem 60
Question
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ 1 \frac{1}{2} $$
Step-by-Step Solution
Verified Answer
Therefore, the mixed number 1 1/2 as a decimal is \(1.5\).
1Step 1: Identify the parts of the Mixed Number
In this exercise, the mixed number is 1 1/2. A mixed number consists of a whole number and a fraction. Here, 1 is the whole number and 1/2 is the fraction.
2Step 2: Convert the fraction into a decimal
To convert the fraction 1/2 to a decimal, divide the numerator (top number) by the denominator (bottom number). This gives \(1 \div 2 = 0.5\).
3Step 3: Combine the whole number and decimal
Having converted the fraction to a decimal, the final step is to combine this decimal with the whole number part of our mixed number. This simply means printing them side by side: \(1.5\)
Key Concepts
Mixed NumbersDecimal RepresentationDivision in Fractions
Mixed Numbers
A mixed number is an essential concept in mathematics, especially when you're dealing with fractions and decimals.
In simple terms, a mixed number consists of two parts:
This kind of number is usually presented when the amount in a fraction is greater than 1.
It's useful in scenarios where you need to express quantities that are more than a whole unit but not complete into another whole unit.
Handling mixed numbers properly is crucial, especially when you need to perform operations like conversion or arithmetic.
Make sure to view them as two separate components that together form a unified value.
In simple terms, a mixed number consists of two parts:
- A whole number
- A fraction
This kind of number is usually presented when the amount in a fraction is greater than 1.
It's useful in scenarios where you need to express quantities that are more than a whole unit but not complete into another whole unit.
Handling mixed numbers properly is crucial, especially when you need to perform operations like conversion or arithmetic.
Make sure to view them as two separate components that together form a unified value.
Decimal Representation
Decimal representation is a way of expressing numbers in a base-10 numeral system, also known as the decimal system.
This is the most common way of representing non-whole numbers and is used extensively in everyday life.
We're all familiar with decimals, which follow a dot (period) that separates the whole number from the fractional part.
For example, the decimal 1.5 combines the whole number part 1 and the fractional part 0.5.
Decimals make it easy to perform arithmetic operations and understand quantities.
In our exercise, we converted the fraction \(\frac{1}{2}\) into its decimal representation, which is 0.5.
This process involves division, where we take the numerator (number on top), divide it by the denominator (number on bottom), and the result is our decimal.
This is the most common way of representing non-whole numbers and is used extensively in everyday life.
We're all familiar with decimals, which follow a dot (period) that separates the whole number from the fractional part.
For example, the decimal 1.5 combines the whole number part 1 and the fractional part 0.5.
Decimals make it easy to perform arithmetic operations and understand quantities.
In our exercise, we converted the fraction \(\frac{1}{2}\) into its decimal representation, which is 0.5.
This process involves division, where we take the numerator (number on top), divide it by the denominator (number on bottom), and the result is our decimal.
Division in Fractions
Understanding division in fractions is key to converting fractions into decimals.
The process is straightforward but requires attention to detail.
Division in fractions involves taking the numerator, which is the top number in a fraction, and dividing it by the denominator, which is the bottom number.
For example, with the fraction \(\frac{1}{2}\), you divide 1 by 2 to get 0.5.
This calculation tells you what part the numerator represents out of the whole, given by the denominator.
This method transforms a potentially complex fraction into a simpler, more universally understood decimal form.
Understanding this division is essential for many math problems and makes subsequent arithmetic processes more intuitive.
Always ensure your calculations are precise to prevent errors in larger computations.
The process is straightforward but requires attention to detail.
Division in fractions involves taking the numerator, which is the top number in a fraction, and dividing it by the denominator, which is the bottom number.
For example, with the fraction \(\frac{1}{2}\), you divide 1 by 2 to get 0.5.
This calculation tells you what part the numerator represents out of the whole, given by the denominator.
This method transforms a potentially complex fraction into a simpler, more universally understood decimal form.
Understanding this division is essential for many math problems and makes subsequent arithmetic processes more intuitive.
Always ensure your calculations are precise to prevent errors in larger computations.
Other exercises in this chapter
Problem 59
Use the substitution method to solve the linear system. \(g-5 h=20\) \(4 g+3 h=34\)
View solution Problem 60
List all the common factors of the pair of numbers. $$ 84,154 $$
View solution Problem 60
Decide whether the statement is true or false. Explain. \(\frac{1}{4}=\frac{3}{12}\)
View solution Problem 61
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ 3 \frac{4}{5} $$
View solution