625 Solution as a Fraction
By Rational numbers are numbers that can be expressed as a ratio of two integers. Fractions are a type of rational number where the numerator and denominator are both integers. In this article, we will discuss how to convert the decimal 625 into a fraction step by step.
Step 1: Understanding Decimal Place Value
Decimal place value is important to understand when converting decimals to fractions. The decimal point separates the whole number from the decimal portion. The digits to the right of the decimal point represent a fraction of a whole number. For example, in the number 625, the 5 is in the hundreds place, the 2 is in the tens place, and the 5 is in the ones place. The decimal point is after the ones place, indicating that the number is less than one.
Step 2: Converting the Decimal to a Fraction
To convert the decimal 625 to a fraction, we need to determine the place value of each digit. The decimal point is after the ones place, which means that 625 can be written as 625/1000. This is because the denominator of a fraction represents the total number of equal parts that make up a whole. In this case, the whole is 1, and there are 1000 equal parts.
Step 3: Simplifying the Fraction
The fraction 625/1000 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 125. Dividing both sides of the fraction by 125 results in 5/8. This is the simplest form of the fraction, and it represents the same value as the decimal 625.
Step 4: Checking the Answer
To check that the fraction 5/8 is equivalent to the decimal 625, we can multiply 5/8 by 1000/1000. This results in (5 * 1000)/(8 * 1000) = 5000/8000. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1000. Dividing both sides of the fraction by 1000 results in 5/8, which is the same as the original fraction we found in step 3.
FAQs
What is a rational number?
A rational number is a number that can be expressed as a ratio of two integers.
What is a fraction?
A fraction is a type of rational number where the numerator and denominator are both integers.
What is decimal place value?
Decimal place value is the value of a digit in a decimal number based on its position to the left or right of the decimal point.
How do you convert a decimal to a fraction?
To convert a decimal to a fraction, determine the place value of each digit and write it as a fraction with the denominator as a power of 10. Simplify the fraction if possible.
How do you simplify a fraction?
To simplify a fraction, divide both the numerator and denominator by their greatest common factor.
Why is it important to simplify fractions?
Simplifying fractions makes them easier to work with and understand. It also helps to identify equivalent fractions.
What is the greatest common factor?
The greatest common factor is the largest number that divides two or more numbers evenly.
What is the least common multiple?
The least common multiple is the smallest number that is a multiple of two or more numbers.
How do you check if a fraction is equivalent to a decimal?
To check if a fraction is equivalent to a decimal, multiply the fraction by a power of 10 that has the same number of digits as the decimal.
Why do we use fractions?
Fractions are used to represent parts of a whole or a group. They are often used in mathematics, cooking, and construction, among other fields. Fractions can also be used to compare quantities, add and subtract values, and solve equations.
Converting a decimal to a fraction can seem intimidating, but it is a straightforward process when you understand decimal place value and basic fraction operations. Remember to simplify your fraction after converting it from a decimal to its simplest form. Using fractions is an essential part of many aspects of everyday life and can help make mathematical operations simpler and more intuitive.
