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When does the sum of two fractions equal one?
The sum of two fractions will be equal to one when the numerator and the denominator of their sum are the same. Example: 1/3 + 2/3 = 3/3 or 1
How can many different ways can you write fraction that has a numerator of 3 as a sum of fractions?
There are infinitely many ways.
How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions?
Infinitely many ways, since if you have found one way then take one of the fractions and replace it by an equivalent fraction. Repeat for ever.
How many different ways can you write a fraction that has numerator of 2 as a sum of fractions?
Infinitely many ways. Suppose you have found a way of writing the given fraction, F, as a sum of two fractions, f1 and f2.Take any other fraction g such that g < f1 and g is not equal to the absolute value of f1 - f2. Then consider (f1 - g) and (f2 + g). Since f1, f2 and g are all fractions, then so are (f1 - g) and (f2 + g). And their sum is F.
How can you tell whether the sum of two fractions with a common denominator is greater than 1 less than 1 or equal to?
To determine whether the sum of two fractions with a common denominator is greater than, less than, or equal to 1, you need to add the numerators of the fractions together and compare the result to the common denominator. If the sum of the numerators is greater than the denominator, the sum of the fractions will be greater than 1. If the sum of the numerators is less than the denominator, the sum of the fractions will be less than 1. If the sum of the numerators is equal to the denominator, the sum of the fractions will be equal to 1.
What is true about the numerators of two like fractions with a sum of one?
They will sum to the denominator.
What is true about the numerators of two like fractions with a sum of 1?
That their sum is always equal to the denominator.
When does the sum of two fractions equal one?
The sum of two fractions will be equal to one when the numerator and the denominator of their sum are the same. Example: 1/3 + 2/3 = 3/3 or 1
How can many different ways can you write fraction that has a numerator of 3 as a sum of fractions?
There are infinitely many ways.
What is the sum of three fractions with odd numerators is never one half?
The sum of three fractions with odd numerators can never equal one half because when you add three odd numbers together, the result is always an odd number. Since one half is a fraction with an even numerator, it is not possible to obtain it as the sum of three fractions with odd numerators. This can be proven mathematically by considering the properties of odd and even numbers in fraction addition.
What is the sum of two thirds and four ninths?
Only fractions with the same denominator can be added directly. Addition of such fractions can be achieved by adding their numerators to form the numerator of the sum, with the common denominator of the added fractions constituting the denominator of the sum. In this instance, 2/3 = 6/9, and 4/9 + 6/9 = 10/9.
How do you mixed numbers into improper fractions?
Multiply the denominator by the whole number. Add the numerator to that total. Put that sum over the original denominator.
What do you call the answer when you add fractions?
If you are adding, the result is a sum. This terminology applies whether the addends (the terms you are adding) are whole numbers or they are expressed as fractions or in decimal notation. The same is true of the sum.
What do you notice when the denominators in two fractions are the same?
You can represent the two fractions with one fraction with a numerator equal to the sum of the two individual numerators (with sign) and a denominator equal to just one of the two denominators.
What is a improper fractions?
An improper fraction is when the numerator is a greater sum then the denominator. Example- 10/5. To change that into a proper fraction you divide the numerator by the denominator. Example - 2 1/5
How do you find the sum of two mixed numbers?
To find the sum of two mixed numbers, turn the mixed numbers into improper fractions (multiply the base with the denominator and add the numerator), then add the two fractions. To add the two fractions, find the LCD (lowest common denominator) and add the two numerators, but leave the denominators the same.
What are three different unit fractions whose sum is a whole number with a numerator of 1?
1/2 + 1/3 + 1/6 is one example.
