What is 3773/3-98+49 ?

The solution to 3773/3-98+49 is 1208 2/3

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Popular Pre Algebra >

3773/3-98+49

Solution

\frac{3773}{3} - 98 + 49

Solution

1208 \frac{2}{3}

Decimal

1208.66666 \dots

Solution steps

\frac{3773}{3} - 98 + 49

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{3773}{3} - 98 = \frac{3479}{3}

\frac{3773}{3} - 98

Convert element to fraction:

98 = \frac{98 \cdot 3}{3}

= - \frac{98 \cdot 3}{3} + \frac{3773}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 98 \cdot 3 + 3773}{3}

- 98 \cdot 3 + 3773 = 3479

- 98 \cdot 3 + 3773

Multiply the numbers:

98 \cdot 3 = 294

= - 294 + 3773

Add/Subtract the numbers:

- 294 + 3773 = 3479

= 3479

= \frac{3479}{3}

= \frac{3479}{3} + 49

\frac{3479}{3} + 49 = \frac{3626}{3}

\frac{3479}{3} + 49

Convert element to fraction:

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

= \frac{49 \cdot 3}{3} + \frac{3479}{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 + 3479}{3}

49 \cdot 3 + 3479 = 3626

49 \cdot 3 + 3479

Multiply the numbers:

49 \cdot 3 = 147

= 147 + 3479

Add the numbers:

147 + 3479 = 3626

= 3626

= \frac{3626}{3}

= \frac{3626}{3}

Convert improper fractions to mixed numbers:

\frac{3626}{3} = 1208 \frac{2}{3}

\frac{3626}{3} = 1208

Remainder

2

\frac{3626}{3}

Write the problem in long division format

3 \overline{∣ 3626}

Divide

3

3

to get

1

Divide

3

3

to get

1

1 3 \overline{∣ 3626}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 3626} \underline{3}

Subtract

3

from

3

1 3 \overline{∣ 3626} \underline{3} 0

Bring down the next number of the dividend

1 3 \overline{∣ 3626} \underline{3} 06

1 3 \overline{∣ 3626} \underline{3} 06

Divide

6

3

to get

2

Divide

6

3

to get

2

12 3 \overline{∣ 3626} \underline{3} 06

Multiply the quotient digit

(2)

by the divisor

3

12 3 \overline{∣ 3626} \underline{3} 06 \underline{6}

Subtract

6

from

6

12 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 0

Bring down the next number of the dividend

12 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02

12 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02

Divide

2

3

to get

0

Divide

2

3

to get

0

120 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02

Multiply the quotient digit

(0)

by the divisor

3

120 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0}

Subtract

0

from

2

120 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 2

Bring down the next number of the dividend

120 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 26

120 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 26

Divide

26

3

to get

8

Divide

26

3

to get

8

1208 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 26

Multiply the quotient digit

(8)

by the divisor

3

1208 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 26 \underline{24}

Subtract

24

from

26

1208 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 26 \underline{24} 2

1208 3 \overline{∣ 3626} \underline{3} 06 \underline{6} 02 \underline{0} 26 \underline{24} 2

The solution for Long Division of

\frac{3626}{3}

1208

with remainder of

2

1208 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3626}{3} = 1208 \frac{2}{3}

= 1208 \frac{2}{3}

= 1208 \frac{2}{3}

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What is 3773/3-98+49 ?
The solution to 3773/3-98+49 is 1208 2/3

3773/3-98+49

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 3773/3-98+49 ?

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