Solve: 1/4 × 1/3 + 4 × 3/4 - Mixed Fraction Operations

The order of operations (PEMDAS) tells us to do multiplication and division before addition and subtraction. This rule ensures everyone gets the same answer every time!

Write the whole number as a fraction! For example: $4 \times \frac{3}{4} = \frac{4}{1} \times \frac{3}{4} = \frac{12}{4} = 3$

You need a common denominator! Convert the whole number to a fraction with the same denominator: $3 = \frac{36}{12}$, then add: $\frac{1}{12} + \frac{36}{12} = \frac{37}{12}$

Divide the numerator by denominator! $\frac{37}{12} = 37 ÷ 12 = 3$ remainder $1$, so the answer is $3\frac{1}{12}$

It's better to learn the method first! Multiply numerators together, multiply denominators together, then simplify. This builds your number sense for more complex problems.