Decompose a fraction Justify the reasonableness into a sum of fractions of a product when with the same multiplying with fractions. denominator and record Estimate the size of the each decomposition with product based on the an equation and size of the two factors. justification. Explain why multiplying a given number by a fraction greater than 1 results in a product larger than the given number. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Explain why multiplying the numerator and denominator by the same number is equivalent to multiplying the fraction by 1. problems involving Solve problems involving adding and subtracting addition and subtraction fractions and mixed of fractions and mixed numbers with like numbers with unlike denominators. denominators, and justify the solution.
Decompose a fraction into a sum of fractions with the same denominator and record each decomposition with an equation and justification. Justify the reasonableness of a product when multiplying with fractions. Estimate the size of the product based on the size of the two factors. Explain why multiplying a given number by a fraction greater than 1 results in a product larger than the given number. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Explain why multiplying the numerator and denominator by the same number is equivalent to multiplying the fraction by 1. problems involving adding and subtracting fractions and mixed numbers with like denominators. Solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution.