When we write a mixed number like 1 1/4 as a decimal, we are converting it into a decimal representation. A decimal is a way to express a number using place value, where the digits to the right of the decimal point represent parts of a whole number.
The answer to 1 1/4 as a decimal is 1.25.
There are multiple methods to solve 1 1/4 as a decimal. Let's discuss two common methods:
To solve 1 1/4 as a decimal using long division, follow these steps:
To solve 1 1/4 as a decimal using this method, follow these steps:
Example 1: Convert 1 1/4 to a decimal using long division.
0.25
---------
4 | 1.00
- 0
-----
100
- 100
------
0
The quotient is 1, and there is no remainder. Therefore, 1 1/4 as a decimal is 1.25.
Example 2: Convert 1 1/4 to a decimal using the second method.
1 * 4 = 4
4 + 1 = 5
1 1/4 = 5/4 = 5/1000 = 0.00125
Example 3: Convert 1 1/4 to a decimal using long division.
0.25
---------
4 | 1.00
- 0
-----
100
- 100
------
0
The quotient is 1, and there is no remainder. Therefore, 1 1/4 as a decimal is 1.25.
Example 4: Convert 1 1/4 to a decimal using the second method.
1 * 4 = 4
4 + 1 = 5
1 1/4 = 5/4 = 5/1000 = 0.00125
Example 5: Convert 1 1/4 to a decimal using long division.
0.25
---------
4 | 1.00
- 0
-----
100
- 100
------
0
The quotient is 1, and there is no remainder. Therefore, 1 1/4 as a decimal is 1.25.
Example 6: Convert 1 1/4 to a decimal using the second method.
1 * 4 = 4
4 + 1 = 5
1 1/4 = 5/4 = 5/1000 = 0.00125
In mathematics, fractions represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers, but rather a portion or a ratio of two numbers.
The symbols used to represent fractions are the fraction bar (/) and the division slash (÷). The fraction bar is commonly used, such as in 1/4, while the division slash is used less frequently, such as in 1 ÷ 4.
There are several types of fractions:
A fraction consists of two components:
A decimal is a way to represent numbers using place value, where the digits to the right of the decimal point represent parts of a whole number. It is a base-10 system, meaning each place value is a power of 10.
The symbol used to represent a decimal is a dot or a period (.), which is placed between the whole number part and the fractional part of the number.
A decimal consists of two components:
There are several types of decimals: