Math

QuestionCalculate 3÷13+13 \div \frac{1}{3} + 1.

Studdy Solution

STEP 1

Assumptions1. The operation of division and addition follows the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to perform the division operation. According to the order of operations, division comes before addition.
÷1 \div \frac{1}{}

STEP 3

To divide by a fraction, we multiply by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
3÷13=3×313 \div \frac{1}{3} =3 \times \frac{3}{1}

STEP 4

Perform the multiplication.
3×31=93 \times \frac{3}{1} =9

STEP 5

Now we have the result of the division operation, we can proceed to the addition operation.
9+19 +1

STEP 6

Perform the addition.
9+1=109 +1 =10So, 3÷13+1=103 \div \frac{1}{3}+1 =10.

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