Question

Use equivalent fractions as a strategy to add and subtract fractions. Solve the expression: (1(3)/(4) + 2(3)/(8)) + 5(7)/(8), and provide the result in its simplest form.

Answer 1

To solve the expression (1×¼ + 2×⅓) + 5×⁷⁄₈, we can use equivalent fractions to find a common denominator. The result, in simplest form, is 19.

Step-by-step explanation:

To solve the expression (1×¼ + 2×⅓) + 5×⁷⁄₈, we can use equivalent fractions to find a common denominator.

First, we need to find the least common denominator (LCD) for the fractions. The LCD of 4, 8, and 8 is 8.

Next, we convert the fractions to have 8 as the denominator:

1×¼ = 2×₂⁄₈ = 1×½;

2×⅓ = 2×₇⁄₈;

5×⁷⁄₈ = 5×₄⁄₈;

Now, we can add the fractions:

1×½ + 2×₇⁄₈ + 5×₄⁄₈ = 2ײ₄⁄₈ + 5×₂⁄₈ + 5×₄⁄₈ = 2×₂ + 5×₁ + 5×₂ = 4 + 5×₁ + 5×₂ = 4 + 5 + 10 = 19

The result, in simplest form, is 19.