What are the fractions shown in the image?

March 15, 2026Mathematics

$What are the fractions shown in the image?$

ScanSolve AI Answer

March 15, 2026

Answer

\dfrac{39}{20}

Step 1: Simplify each fraction.

\frac{6}{5}

6 and 5 have no common factors other than 1, so $\frac{6}{5}$ is simplified.

\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}

\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}

Step 2: Add the simplified fractions $\frac{6}{5} + \frac{1}{2} + \frac{1}{4}$ .

The least common denominator (LCD) of 5, 2, and 4 is 20.

\frac{6}{5} = \frac{6 \times 4}{5 \times 4} = \frac{24}{20}

\frac{1}{2} = \frac{1 \times 10}{2 \times 10} = \frac{10}{20}

\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}

Step 3: Add the fractions.

\frac{24}{20} + \frac{10}{20} + \frac{5}{20} = \frac{24 + 10 + 5}{20} = \frac{39}{20}

$\boxed{\dfrac{39}{20}}$

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Quick Answer

Simplify each fraction. (6)/(5) 6 and 5 have no common factors other than 1, so (6)/(5) is simplified.

Asked on March 15, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 15, 2026

Step 1: Simplify each fraction. (6)/(5) 6 and 5 have no common factors other than 1, so (6)/(5) is simplified. (4)/(8) = (4 ÷ 4)/(8 ÷ 4) = (1)/(2) (3)/(12) = (3 ÷ 3)/(12 ÷ 3) = (1)/(4) Step 2: Add the simplified fractions (6)/(5) + (1)/(2) + (1)/(4). The least common denominator (LCD) of 5, 2, and 4 is 20. (6)/(5) = (6 × 4)/(5 × 4) = (24)/(20) (1)/(2) = (1 × 10)/(2 × 10) = (10)/(20) (1)/(4) = (1 × 5)/(4 × 5) = (5)/(20) Step 3: Add the fractions. (24)/(20) + (10)/(20) + (5)/(20) = (24 + 10 + 5)/(20) = (39)/(20) (39)/(20)