OPERATIONS ON FRACTIONS

How do you convert an improper fraction to a mixed number?

• Multiply the denominator by the whole number and add the numerator.

• Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fractional part.

• Subtract the whole number from the numerator and keep the denominator the same.

• Add the numerator and denominator to get a new fraction.

What is the process for subtracting fractions with different denominators?

• 1. Find a common denominator, convert each fraction to an equivalent fraction with the common denominator, and subtract the numerators while keeping the common denominator.

• 2. Simply subtract the numerators and denominators directly without finding a common denominator.

• 3. Multiply both fractions by their denominators and then subtract the results.

• 4. Add the fractions together and then subtract the result from one.

What is the formula for finding the difference between two fractions?

• (a/b) - (c/d) = (ad + bc) / (bd)

• (a/b) - (c/d) = (ad - bc) / (bd)

• (a/b) - (c/d) = (ac - bd) / (ab)

• (a/b) - (c/d) = (ad - bc) / (ab)

What is the significance of the lowest terms in fractions?

• Lowest terms indicate that the fraction is simplified, making it easier to understand and compare with other fractions.

• Lowest terms show that the fraction is the largest possible value.

• Lowest terms are used to determine the decimal equivalent of the fraction.

• Lowest terms indicate that the fraction cannot be expressed as a whole number.

How can you check if a fraction is in its simplest form?

• A fraction is in simplest form if the greatest common divisor (GCD) of the numerator and denominator is 1.

• A fraction is in simplest form if the numerator is larger than the denominator.

• A fraction is in simplest form if both the numerator and denominator are even numbers.

• A fraction is in simplest form if it cannot be expressed as a decimal.

How do you find a common denominator for two fractions?

• Identify the greatest common factor (GCF) of the denominators.

• Identify the least common multiple (LCM) of the denominators of the fractions.

• Add the denominators together to get a common denominator.

• Multiply the denominators to find a common denominator.

What does it mean to simplify a fraction?

• It means to convert the fraction into a decimal.

• It means to reduce the fraction to its lowest terms, where the numerator and denominator have no common factors other than 1.

• It means to multiply the numerator and denominator by the same number.

• It means to add the numerator and denominator together.

How do you subtract a fraction from a whole number?

• Convert the whole number to a fraction with the same denominator as the fraction being subtracted, then perform the subtraction.

• Simply subtract the numerator of the fraction from the whole number.

• Multiply the whole number by the denominator of the fraction before subtracting.

• Add the fraction to the whole number instead of subtracting.

How do you find the difference in distance when comparing two fractions?

• Add the two fractions together after finding a common denominator.

• Subtract the smaller fraction from the larger fraction after ensuring they have a common denominator.

• Multiply the two fractions to find the difference in distance.

• Convert the fractions to decimals and then subtract them.

What is the difference between proper and improper fractions?

• A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is equal to or larger than its denominator.

• A proper fraction has a numerator that is equal to its denominator, while an improper fraction has a numerator smaller than its denominator.

• A proper fraction has a numerator larger than its denominator, while an improper fraction has a numerator that is equal to its denominator.

• Both proper and improper fractions have numerators that are smaller than their denominators.