Subtracting Mixed Numbers: Easy Steps with Animations

Mixed numbers combine a whole number and a fraction into a single value.For example, five and two thirds consists of the whole number five, and the fraction two thirds.We can visualize this as five whole units, plus two parts out of three equal parts.When subtracting mixed numbers, we need to compare both the whole numbers and the fractions.In this example, five and two thirds minus two and one third is straightforward because two thirds is larger than one third.However, in cases like four and one fourth minus two and three fourths, we need to be careful. The fraction in the bottom number, three fourths, is larger than one fourth.When the bottom fraction is larger than the top fraction, we'll need to borrow from the whole number in the next step.Now that we understand how to compare mixed numbers, we're ready to learn about borrowing when needed.When subtracting mixed numbers, sometimes we need to borrow from the whole number.In this case, three fourths is larger than one fourth, so we need to borrow from the 4.Let's break this down into steps.First, we take one whole number from four, leaving us with three.That one whole number becomes four fourths, since we're working with fourths.Now we can combine the original one fourth with the borrowed four fourths.Let's see how this changes our original mixed number.The four and one fourth becomes three and five fourths. Now we can subtract the mixed numbers easily.Now that we've borrowed correctly, we're ready to perform the subtraction.Now that we've prepared our mixed numbers, let's perform the actual subtraction.First, let's separate the whole numbers and fractions to make our subtraction easier.We start by subtracting the whole numbers: seven minus two equals five.Next, we subtract the fractions. Since they have the same denominator, we only subtract the numerators.Finally, we combine our whole number five with our fraction one-third.Let's try a more challenging example where the fractions have different denominators.We need to convert one-half to an equivalent fraction with denominator four.Now we can subtract as before, first the whole numbers, then the fractions.Our result is three and one-fourth.Let's look at one final example where we'll need to simplify our answer.After subtracting both parts, we get four and two-eighths.We can simplify two-eighths by dividing both the numerator and denominator by their greatest common factor, which is two.Let's review the key points for subtracting mixed numbers.Thanks for learning about mixed number subtraction with Spark.E!