QuestionWhat is the result of $9 - 3 \div \frac{1}{3} + 1$ ?

Studdy Solution

STEP 1

Assumptions1. The problem is $9-3 \div \frac{1}{3}+1$ . We follow 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 in the expression. $9 - \div \frac{1}{} +1$

STEP 3

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{1}{3}$ is $3$ . $9 -3 \times3 +1$

STEP 4

Now, perform the multiplication operation.
$9 -9 +1$

STEP 5

Next, perform the subtraction operation.
$0 +1$

STEP 6

Finally, perform the addition operation.
$0 +1 =1$ So, $9-3 \div \frac{1}{3}+1=1$ .

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QuestionWhat is the result of $9 - 3 \div \frac{1}{3} + 1$ ?

Studdy Solution

STEP 1

Assumptions1. The problem is $9-3 \div \frac{1}{3}+1$ . We follow 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 in the expression. $9 - \div \frac{1}{} +1$

STEP 3

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{1}{3}$ is $3$ . $9 -3 \times3 +1$

STEP 4

Now, perform the multiplication operation.
$9 -9 +1$

STEP 5

Next, perform the subtraction operation.
$0 +1$

STEP 6

Finally, perform the addition operation.
$0 +1 =1$ So, $9-3 \div \frac{1}{3}+1=1$ .

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QuestionWhat is the result of 9−3÷13+19 - 3 \div \frac{1}{3} + 19−3÷31​+1?

Studdy Solution

STEP 1

Assumptions1. The problem is 9−3÷13+19-3 \div \frac{1}{3}+19−3÷31​+1 . We follow 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 in the expression.9−÷1+19 - \div \frac{1}{} +19−÷1​+1

STEP 3

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 13\frac{1}{3}31​ is 333.9−3×3+19 -3 \times3 +19−3×3+1

STEP 4

Now, perform the multiplication operation.9−9+19 -9 +19−9+1

STEP 5

Next, perform the subtraction operation.0+10 +10+1

STEP 6

Finally, perform the addition operation.0+1=10 +1 =10+1=1So, 9−3÷13+1=19-3 \div \frac{1}{3}+1=19−3÷31​+1=1.

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QuestionWhat is the result of $9 - 3 \div \frac{1}{3} + 1$ ?

Assumptions1. The problem is $9-3 \div \frac{1}{3}+1$ . We follow 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.

First, we need to perform the division operation in the expression. $9 - \div \frac{1}{} +1$

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{1}{3}$ is $3$ . $9 -3 \times3 +1$

Now, perform the multiplication operation.
$9 -9 +1$

Next, perform the subtraction operation.
$0 +1$

Finally, perform the addition operation.
$0 +1 =1$ So, $9-3 \div \frac{1}{3}+1=1$ .