15/16 to decimal

What does 15/16 to decimal mean?

When we say "15/16 to decimal," we are referring to converting the fraction 15/16 into its decimal form.

What is the answer to 15/16 to decimal?

The answer to 15/16 to decimal is 0.9375.

What are some ways to solve 15/16 to decimal?

There are multiple methods to solve 15/16 to decimal. Let's discuss two common methods:

Method 1: Long Division

To solve 15/16 to decimal using long division, follow these steps:

1. Divide 15 by 16: 15 ÷ 16 = 0.9375
2. Multiply the quotient (0) by the divisor (16) and subtract it from the dividend (15): 15 - 0 = 15
3. Bring down the next digit (0) and divide: 150 ÷ 16 = 9.375
4. Repeat step 2: 150 - 96 = 54
5. Bring down the next digit (0) and divide: 540 ÷ 16 = 33.75
6. Repeat step 2: 540 - 528 = 12
7. Bring down the next digit (0) and divide: 120 ÷ 16 = 7.5
8. Repeat step 2: 120 - 112 = 8
9. Bring down the next digit (0) and divide: 80 ÷ 16 = 5
10. Repeat step 2: 80 - 80 = 0

The final result is 0.9375.

Method 2: Denominator as 1000

To solve 15/16 to decimal using this method, follow these steps:

1. Multiply both the numerator and denominator by the same number to make the denominator 1000: (15 × 62.5) ÷ (16 × 62.5) = 937.5 ÷ 1000
2. Simplify the fraction: 937.5 ÷ 1000 = 0.9375

Again, the final result is 0.9375.

Solved Examples

Example 1: Convert 3/4 to decimal. Solution: Using long division, we have 3 ÷ 4 = 0.75.

Example 2: Convert 7/8 to decimal. Solution: Using the denominator as 1000, we have (7 × 125) ÷ (8 × 125) = 875 ÷ 1000 = 0.875.

Example 3: Convert 5/6 to decimal. Solution: Using long division, we have 5 ÷ 6 = 0.8333...

What do fractions mean 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.

What symbols are used to represent fractions?

The symbols used to represent fractions are the numerator (top number) and the denominator (bottom number), separated by a horizontal line or a forward slash (/).

What types of fractions are there?

There are three types of fractions: proper fractions, improper fractions, and mixed numbers.

• Proper fractions have a numerator smaller than the denominator (e.g., 3/4).
• Improper fractions have a numerator greater than or equal to the denominator (e.g., 5/4).
• Mixed numbers consist of a whole number and a proper fraction (e.g., 1 3/4).

Components of fractions

A fraction consists of a numerator, a denominator, and a fraction bar or slash. The numerator represents the number of parts we have, the denominator represents the total number of equal parts, and the fraction bar or slash separates the numerator and denominator.

What is a decimal?

A decimal is a way to represent numbers that are not whole numbers. It is based on powers of 10 and uses a decimal point to separate the whole number part from the fractional part.

What symbol is used to represent a decimal?

The symbol used to represent a decimal is a decimal point (.), placed between the whole number part and the fractional part.

Components of decimals

A decimal consists of a whole number part, a decimal point, and a fractional part. The fractional part is expressed using place value, where each digit represents a power of 10.

What are the types of decimals?

There are three types of decimals: terminating decimals, repeating decimals, and non-repeating decimals.

• Terminating decimals have a finite number of digits after the decimal point (e.g., 0.75).
• Repeating decimals have a repeating pattern of digits after the decimal point (e.g., 0.333...).
• Non-repeating decimals have an infinite number of non-repeating digits after the decimal point (e.g., 0.123456789...).

Question: 15/16 to decimal

The decimal form of 15/16 is 0.9375.