What is 49\div 21+3(12-7) ?

The solution to 49\div 21+3(12-7) is 17 1/3

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Popular >

49\div 21+3(12-7)

Solution

49 \div 21 + 3 (12 - 7)

Solution

17 \frac{1}{3}

Solution steps

49 \div 21 + 3 (12 - 7)

Follow the PEMDAS order of operations

Calculate within parentheses

(12 - 7) : 5

12 - 7

12 - 7 = 5

= 5

= 49 \div 21 + 3 \cdot 5

Multiply and divide (left to right)

49 \div 21 : \frac{49}{21}

49 \div 21

49 \div 21 = \frac{49}{21}

= \frac{49}{21}

= \frac{49}{21} + 3 \cdot 5

Multiply and divide (left to right)

3 \cdot 5 : 15

3 \cdot 5

3 \cdot 5 = 15

= 15

= \frac{49}{21} + 15

Add and subtract (left to right)

\frac{49}{21} + 15 : \frac{52}{3}

\frac{49}{21} + 15

\frac{49}{21} + 15 = \frac{52}{3}

\frac{49}{21} + 15

Cancel

\frac{49}{21} : \frac{7}{3}

\frac{49}{21}

Cancel the common factor:

7

= \frac{7}{3}

= \frac{7}{3} + 15

Convert element to fraction:

15 = \frac{15 \cdot 3}{3}

= \frac{15 \cdot 3}{3} + \frac{7}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{15 \cdot 3 + 7}{3}

15 \cdot 3 + 7 = 52

15 \cdot 3 + 7

Multiply the numbers:

15 \cdot 3 = 45

= 45 + 7

Add the numbers:

45 + 7 = 52

= 52

= \frac{52}{3}

= \frac{52}{3}

= \frac{52}{3}

Convert improper fractions to mixed numbers:

\frac{52}{3} = 17 \frac{1}{3}

\frac{52}{3} = 17

Remainder

1

\frac{52}{3}

Write the problem in long division format

3 \overline{∣ 52}

Divide

5

3

to get

1

Divide

5

3

to get

1

1 3 \overline{∣ 52}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 52} \underline{3}

Subtract

3

from

5

1 3 \overline{∣ 52} \underline{3} 2

Bring down the next number of the dividend

1 3 \overline{∣ 52} \underline{3} 22

1 3 \overline{∣ 52} \underline{3} 22

Divide

22

3

to get

7

Divide

22

3

to get

7

17 3 \overline{∣ 52} \underline{3} 22

Multiply the quotient digit

(7)

by the divisor

3

17 3 \overline{∣ 52} \underline{3} 22 \underline{21}

Subtract

21

from

22

17 3 \overline{∣ 52} \underline{3} 22 \underline{21} 1

17 3 \overline{∣ 52} \underline{3} 22 \underline{21} 1

The solution for Long Division of

\frac{52}{3}

17

with remainder of

1

17 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{52}{3} = 17 \frac{1}{3}

= 17 \frac{1}{3}

= 17 \frac{1}{3}

Popular Examples

(1/6+2/3)(1-2/5)

(\frac{1}{6} + \frac{2}{3}) (1 - \frac{2}{5})

51^7-51^6

5 1^{7} - 5 1^{6}

(6-4)^2

(6 - 4)^{2}

-3/2 (2)^2

- \frac{3}{2} (2)^{2}

2+3^2

2 + 3^{2}

Frequently Asked Questions (FAQ)

What is 49\div 21+3(12-7) ?
The solution to 49\div 21+3(12-7) is 17 1/3