Describe how you would help your learner to add the following mixed fractions: 13 1/4 + 12 3/4

March 18, 2026Mathematics

$Describe how you would help your learner to add the following mixed fractions: 13 1/4 + 12 3/4$

ScanSolve AI Answer

March 18, 2026

Answer

$2\frac{3}{20}$

Step 1: Convert the mixed number $1\frac{2}{5}$ to an improper fraction.

1\frac{2}{5} = \frac{1 \times 5 + 2}{5}

Substitute:

\frac{5 + 2}{5} = \frac{7}{5}

Step 2: Add the fractions $\frac{3}{4} + \frac{7}{5}$ .

Find the least common denominator: $4 \times 5 = 20$ .

\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}

\frac{7}{5} = \frac{7 \times 4}{5 \times 4} = \frac{28}{20}

Step 3: Add the fractions with common denominator.

\frac{15}{20} + \frac{28}{20} = \frac{15 + 28}{20} = \frac{43}{20}

Step 4: Convert $\frac{43}{20}$ back to a mixed number.

\frac{43}{20} = 2\frac{3}{20}

(since $20 \times 2 = 40$ , $43 - 40 = 3$ )

2\frac{3{20}}

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Quick Answer

Convert the mixed number 1(2)/(5) to an improper fraction. 1(2)/(5) = (1 × 5 + 2)/(5) Substitute: (5 + 2)/(5) = (7)/(5) Step 2: Add the fractions (3)/(4) + (7)/(5).

Asked on March 18, 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 18, 2026

Step 1: Convert the mixed number 1(2)/(5) to an improper fraction. 1(2)/(5) = (1 × 5 + 2)/(5) Substitute: (5 + 2)/(5) = (7)/(5) Step 2: Add the fractions (3)/(4) + (7)/(5). Find the least common denominator: 4 × 5 = 20. (3)/(4) = (3 × 5)/(4 × 5) = (15)/(20) (7)/(5) = (7 × 4)/(5 × 4) = (28)/(20) Step 3: Add the fractions with common denominator. (15)/(20) + (28)/(20) = (15 + 28)/(20) = (43)/(20) Step 4: Convert (43)/(20) back to a mixed number. (43)/(20) = 2(3)/(20) (since 20 × 2 = 40, 43 - 40 = 3) 2(3)/(20)