Understanding Fractions

Fractions that represent the same part of a whole, despite having different numerators and denominators.

Expressing a fraction in its lowest terms (where the numerator and denominator have no common factors other than 1).

The largest number that divides evenly into two or more numbers without leaving a remainder.

Creating new fractions that represent the same portion by multiplying the numerator and denominator by the same non-zero number.

Add or subtract the numerators, keeping the denominator the same.

Finding the simplest form of a fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

A fraction where the numerator is greater than or equal to the denominator.

A number with a whole number part and a fractional part.

Numbers that evenly divide both the numerator and the denominator of a fraction.

The simplest form of a fraction , where the numerator and denominator have no common factors other than 1.

When fractions have the same denominator, the fraction with the larger numerator is the greater fraction.

When fractions have the same numerator, the fraction with the smaller denominator is the greater fraction.

Arranging numbers from smallest to largest.

Arranging numbers from largest to smallest.

Comparing fractions that share the same denominator.

Comparing fractions with different denominators.

To add mixed numbers, convert them into improper fractions, find a common denominator if necessary, add the numerators, simplify the result, and convert back to a mixed number if possible.

To subtract mixed numbers, convert them to improper fractions, find a common denominator if necessary, subtract the numerators, simplify the result, and convert back to a mixed number if possible.

A number with a whole number part and a fractional part.

Multiply the whole number by the denominator, add the numerator, and keep the same denominator.

Divide the numerator by the denominator, the quotient becomes the whole number, the remainder becomes the numerator, and the denominator stays the same.

The same denominator for two or more fractions, allowing them to be added or subtracted.

When subtracting fractions, if the numerator of the first fraction is smaller than the second, borrow one whole from the whole number part, convert it to a fraction with the same denominator, and add it to the first fraction.

In adding fractions, the order of the numbers does not affect the final sum.

When you subtract 0 from any fraction, the result is the same fraction.

When you add 0 to any fraction, the result is the same fraction.

No, the order of the numbers in subtraction of fractions matters. The result changes if you switch the order.

Add the numerators of the fractions while keeping the denominator the same.

Combining two or more numbers to find their total sum.

Finding the difference between two numbers by taking away the smaller number from the larger one.

Adding the lengths of multiple objects to find the combined length.

Subtracting the smaller length from the larger length to find the difference between two objects.

Subtracting the weight of one book from the total weight of two books to find the weight of the remaining book.