Absolutely! The strategies related to Fractions are crucial for tackling Algebra questions on the Digital SAT Math Section. Here’s a breakdown of how these strategies can be applied:Combine Fractions:
When you encounter a question that requires adding or subtracting fractions, the key is to find a common denominator. Once you have a common denominator, you can combine the numerators and simplify the resulting fraction, if possible. For example, if you have the expression 1/4 + 3/8, you would first find the least common denominator (which is 8), and then convert the fractions to have a common denominator of 8. The resulting expression would be 2/8 + 3/8 = 5/8.Separate Fractions:
Complex fractions, such as (2/3) / (1/4), can be broken down into simpler fractions for easier manipulation. In this case, you would separate the fractions and rewrite the expression as (2/3) × (4/1), which is equivalent to 8/3.Simplify Fractions:
Reducing fractions to their simplest form is essential for maintaining clarity and accuracy in your work. To simplify a fraction, you need to divide both the numerator and denominator by their greatest common factor. For instance, the fraction 12/16 can be simplified to 3/4 by dividing both the numerator and denominator by 4.Fraction within a Fraction:
When dealing with complex fractions that have a fraction within the denominator, you can simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator’s fraction. For example, to simplify the expression (2/3) / (1/4), you would multiply both the numerator and denominator by 4/1 (the reciprocal of 1/4), resulting in (2/3) × (4/1) = 8/3.Flip a Fraction:
When you need to divide by a fraction, you can simplify the operation by multiplying by the reciprocal of the divisor. For instance, if you need to divide by 3/4, you can rewrite the expression as 1 ÷ (3/4), which is equivalent to 1 × (4/3) = 4/3.By mastering these strategies for working with fractions, you’ll be better equipped to tackle a wide range of Algebra questions on the Digital SAT Math Section. Remember to practice applying these techniques with sample questions to solidify your understanding and improve your problem-solving skills.
