What is 7^2× 1-5\div 3 ?

The solution to 7^2× 1-5\div 3 is 47 1/3

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Popular Pre Algebra >

7^2× 1-5\div 3

Solution

7^{2} \times 1 - 5 \div 3

Solution

47 \frac{1}{3}

Decimal

47.33333 \dots

Solution steps

7^{2} \times 1 - 5 \div 3

Follow the PEMDAS order of operations

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 49 \times 1 - 5 \div 3

Multiply and divide (left to right)

49 \times 1 : 49

49 \times 1

49 \times 1 = 49

= 49

= 49 - 5 \div 3

Multiply and divide (left to right)

5 \div 3 : \frac{5}{3}

5 \div 3

5 \div 3 = \frac{5}{3}

= \frac{5}{3}

= 49 - \frac{5}{3}

Add and subtract (left to right)

49 - \frac{5}{3} : \frac{142}{3}

49 - \frac{5}{3}

49 - \frac{5}{3} = \frac{142}{3}

49 - \frac{5}{3}

Convert element to fraction:

49 = \frac{49 \cdot 3}{3}

= \frac{49 \cdot 3}{3} - \frac{5}{3}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{49 \cdot 3 - 5}{3}

49 \cdot 3 - 5 = 142

49 \cdot 3 - 5

Multiply the numbers:

49 \cdot 3 = 147

= 147 - 5

Subtract the numbers:

147 - 5 = 142

= 142

= \frac{142}{3}

= \frac{142}{3}

= \frac{142}{3}

Convert improper fractions to mixed numbers:

\frac{142}{3} = 47 \frac{1}{3}

\frac{142}{3} = 47

Remainder

1

\frac{142}{3}

Write the problem in long division format

3 \overline{∣ 142}

Divide

14

3

to get

4

Divide

14

3

to get

4

4 3 \overline{∣ 142}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 142} \underline{12}

Subtract

12

from

14

4 3 \overline{∣ 142} \underline{12} 2

Bring down the next number of the dividend

4 3 \overline{∣ 142} \underline{12} 22

4 3 \overline{∣ 142} \underline{12} 22

Divide

22

3

to get

7

Divide

22

3

to get

7

47 3 \overline{∣ 142} \underline{12} 22

Multiply the quotient digit

(7)

by the divisor

3

47 3 \overline{∣ 142} \underline{12} 22 \underline{21}

Subtract

21

from

22

47 3 \overline{∣ 142} \underline{12} 22 \underline{21} 1

47 3 \overline{∣ 142} \underline{12} 22 \underline{21} 1

The solution for Long Division of

\frac{142}{3}

47

with remainder of

1

47 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{142}{3} = 47 \frac{1}{3}

= 47 \frac{1}{3}

= 47 \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 7^2× 1-5\div 3 ?
The solution to 7^2× 1-5\div 3 is 47 1/3

7^2× 1-5\div 3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 7^2× 1-5\div 3 ?

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