Which improper fraction is the same as 3 1/2

In other words, you divide the top number by the bottom number. Whatever you get on top of the division symbol is the quotient, and is your "regular number" part of the mixed number. Whatever your remainder is, put that number on top of the number you divided by; this is the fractional portion of your mixed number. Note: When you're converting from improper fraction to mixed numbers, do not continue the long division into decimal places. Just find the quotient and the remainder.

Then stop. First, I do the long division to find the whole-number part being the quotient and the remainder:. The quotient, across the top, is 11 , so this will be the whole-number portion of the mixed number. You can use the Mathway widget below to practice converting an improper fraction to a mixed number.

Clicking on "Tap to view steps" on the widget's answer screen will take you to the Mathway site for a paid upgrade. This procedure works perfectly well on rational expressions polynomial fractions. You can see this in the example below or else you can jump on ahead to multiplying regular fractions :.

Page 1 Page 2 Page 3 Page 4 Page 5. All right reserved. In an improper fraction, the numerator is always greater than or equal to the denominator. Examples of improper fractions include and.

Identify as a proper or improper fraction. A proper. In the fraction , the numerator is greater than the denominator, so it is an improper fraction. The correct answer is improper. The fraction is greater than 1, and the numerator is greater than the denominator, so is an improper fraction. Changing Improper Fractions to Mixed Numbers. An improper fraction can also be written as a mixed number.

Mixed numbers contain both a whole number and a proper fraction. Examples of mixed numbers include and. Below are three whole pizzas that are each cut into four pieces. A fourth pizza is there as well, but someone has taken one piece, leaving only three pieces. You can use fractions to compare the number of pieces you have to the number of pieces that make up a whole.

In this picture, the denominator is the total number of pieces that make up one whole pizza, which is 4. The total number of all pieces of pizza, which is 15, represents the numerator. You can use the improper fraction to represent the total amount of pizza here. So, the total amount of whole pizzas is. As you looked at the image of the pizzas, however, you probably noticed right away that there were 3 full pizzas and one pizza with a piece missing.

While you can use the improper fraction to represent the total amount of pizza, it makes more sense here to use a mixed number — a fraction that includes both a whole number and a fractional part. For this pizza scenario, you can use the fraction.

The mixed number can be easier to understand than the improper fraction. However, both forms are legitimate ways to represent the number of pizzas. Rewriting an improper fraction as a mixed number can be helpful, because it helps you see more easily about how many whole items you have.

The improper fraction means there are 15 total pieces, and 4 pieces makes a whole pizza. The remainder is 3. So, there are 3 pieces of the last pizza left, out of the 4 that would make a whole pizza. So, of a pizza is left. Now, put the number of whole pizzas with the fraction of a pizza that is left over.

The mixed number is. Writing Improper Fractions as Mixed Numbers. Step 1: Divide the denominator into the numerator. Step 2: The quotient is the whole number part of the mixed number.

Step 3: The remainder is the numerator of the fractional part of the mixed number. Step 4: The divisor is the denominator of the fractional part of the mixed number. We will discuss here about verification of equivalent fractions. To verify that two fractions are equivalent or not, we multiply the numerator of one fraction by the denominator of the other fraction. Similarly, we multiply the denominator of one fraction by the numerator. Equivalent fractions are the fractions having the same value.

An equivalent fraction of a given fraction can be obtained by multiplying its numerator and denominator by the same number. In 5th Grade Fractions Worksheets we will solve how to compare two fractions, comparing mixed fractions, addition of like fractions, addition of unlike fractions, addition of mixed fractions, word problems on addition of fractions, subtraction of like fractions.

Here we will learn Reciprocal of a fraction. To divide a fraction or a whole number by a fraction or a whole number, we multiply the reciprocal of the divisor. Here we will learn fraction of a fraction. Let us look at the picture of a chocolate bar. The chocolate bar has 6 parts in it. To multiply two or more fractions, we multiply the numerators of given fractions to find the new numerator of the product and multiply the denominators to get the denominator of the product.

To multiply a fraction by a whole number, we multiply the numerator of the fraction. To subtract unlike fractions, we first convert them into like fractions. In order to make a common denominator, we find LCM of all the different denominators of given fractions and then make them equivalent fractions with a common denominators.

We will learn how to solve subtraction of mixed fractions or subtraction of mixed numbers. There are two methods to subtract the mixed fractions. Step I: Subtract the whole numbers. Step II: To subtract the fractions we convert them into like fractions.

Step III: Add the. Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. All Rights Reserved. You might like these. Worksheet on Addition of Like Fractions Addition of Fractions In worksheet on addition of fractions having the same denominator, all grade students can practice the questions on adding fractions.

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Fractions in Ascending Order Arranging Fractions an Ascending Order We will discuss here how to arrange the fractions in ascending order. Comparison of Unlike Fractions Compare Unlike Fractions Comparing In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. Worksheet on Equivalent Fractions Questions on Equivalent Fractions In worksheet on equivalent fractions, all grade students can practice the questions on equivalent fractions.

Verification of Equivalent Fractions Exploring Equivalent Fractions We will discuss here about verification of equivalent fractions. Division in Terms of Reciprocal Division of Fractions Reciprocal To divide a fraction or a whole number by a fraction or a whole number, we multiply the reciprocal of the divisor. Multiplying Fractions How to Multiply Fractions? Multiply Fractions To multiply two or more fractions, we multiply the numerators of given fractions to find the new numerator of the product and multiply the denominators to get the denominator of the product.