1 1/4 as a decimal

What does 1 1/4 as a decimal mean?

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.

What is the answer to 1 1/4 as a decimal?

The answer to 1 1/4 as a decimal is 1.25.

What are some ways to solve 1 1/4 as a decimal?

There are multiple methods to solve 1 1/4 as a decimal. Let's discuss two common methods:

Method 1: Use long division to solve 1 1/4 as a decimal.

To solve 1 1/4 as a decimal using long division, follow these steps:

1. Write the mixed number as a fraction: 1 1/4 = 5/4.
2. Perform long division: Divide 5 by 4.
3. Write the quotient as the whole number part of the mixed number: 1.
4. Write the remainder as the numerator of the fraction part of the mixed number: 1.
5. Write the divisor as the denominator of the fraction part of the mixed number: 4.
6. Combine the whole number and the fraction to get the decimal representation: 1.25.

Method 2: The denominator becomes 1000 and the numerator is divided by the denominator.

To solve 1 1/4 as a decimal using this method, follow these steps:

1. Multiply the whole number part by the denominator: 1 * 4 = 4.
2. Add the numerator to the result: 4 + 1 = 5.
3. Write the result as the numerator of the fraction.
4. Write the denominator as 10 raised to the power of the number of digits in the denominator: 4 becomes 1000.
5. Combine the whole number and the fraction to get the decimal representation: 1.25.

More than 3 solved examples about 1 1/4 as a decimal and detailed explanation step by step.

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

What do fractions mean in mathematics?

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.

What symbols are used to represent fractions?

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.

What types of fractions are there?

There are several types of fractions:

1. Proper fractions: Fractions where the numerator is smaller than the denominator, such as 1/4.
2. Improper fractions: Fractions where the numerator is equal to or greater than the denominator, such as 5/4.
3. Mixed numbers: A combination of a whole number and a proper fraction, such as 1 1/4.

Components of fractions.

A fraction consists of two components:

1. Numerator: The number above the fraction bar, which represents the number of parts being considered.
2. Denominator: The number below the fraction bar, which represents the total number of equal parts into which the whole is divided.

What is a decimal?

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.

What symbol is used to represent decimal?

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.

Components of decimals.

A decimal consists of two components:

1. Whole number part: The digits to the left of the decimal point, which represent the whole number.
2. Fractional part: The digits to the right of the decimal point, which represent the fraction or decimal fraction of the number.

What are the types of decimals?

There are several types of decimals:

1. Terminating decimals: Decimals that have a finite number of digits after the decimal point, such as 0.25.
2. Repeating decimals: Decimals that have a repeating pattern of digits after the decimal point, such as 0.3333...
3. Non-terminating and non-repeating decimals: Decimals that do not have a repeating pattern and continue indefinitely without terminating, such as π (pi) = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...