Table of Contents

- 1 Is Times 1/3 the same as dividing by 3?
- 2 What is the difference between associative property and distributive property?
- 3 Are 1/3 and 3 the same?
- 4 What is 1/3 as a fraction?
- 5 What is the distributive property give one example of the distributive property?
- 6 What is the difference between associative and commutative properties?
- 7 What is the difference between adding fractions and multiplying fractions?

## Is Times 1/3 the same as dividing by 3?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words – one third divided by three = one ninth.

## What is the difference between associative property and distributive property?

The associative property states that when adding or multiplying, the grouping symbols can be rearranged and it will not affect the result. This is stated as (a+b)+c=a+(b+c). The distributive property is a multiplication technique that involves multiplying a number by all of the separate addends of another number.

**Why is dividing fractions the same as multiplying by the reciprocal?**

If you have a recipe that needs to be divided in half, you can divide each ingredient by 2, or you can multiply each ingredient by 12 to find the new amount. Dividing a fraction by a whole number is the same as multiplying by the reciprocal, so you can always use multiplication of fractions to solve division problems.

### Are 1/3 and 3 the same?

One third is one part of three equal parts. When you split an object or number into thirds, you divide it by three.

### What is 1/3 as a fraction?

Decimal and Fraction Conversion Chart

Fraction | Equivalent Fractions | Decimal |
---|---|---|

1/3 | 2/6 | .333 |

2/3 | 4/6 | .666 |

1/4 | 2/8 | .25 |

3/4 | 6/8 | .75 |

**What is the difference between associative and commutative property of multiplication?**

Commutative property of multiplication: Changing the order of factors does not change the product. Associative property of multiplication: Changing the grouping of factors does not change the product.

## What is the distributive property give one example of the distributive property?

multiplication

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) =? According to this property, you can add the numbers and then multiply by 3.

## What is the difference between associative and commutative properties?

The commutative property concerns the order of certain mathematical operations. The operation is commutative because the order of the elements does not affect the result of the operation. The associative property, on the other hand, concerns the grouping of elements in an operation.

**What is the difference between associative property of addition and associative property of multiplication?**

The associative rule of addition states, a + (b + c) is the same as (a + b) + c. Likewise, the associative rule of multiplication says a × (b × c) is the same as (a × b) × c.

### What is the difference between adding fractions and multiplying fractions?

Adding Fractions: If the denominators are not the same, you must find the common denominator by finding the least common multiple (LCM). Multiplying Fractions: You can multiply both the numerators and denominators, whether they are common or not.