What is 1733+(5/32)*3 ?

The solution to 1733+(5/32)*3 is 1733 15/32

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Popular Pre Algebra >

1733+(5/32)*3

Solution

1733 + (\frac{5}{32}) \cdot 3

Solution

1733 \frac{15}{32}

Decimal

1733.46875

Solution steps

1733 + (\frac{5}{32}) \cdot 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(\frac{5}{32}) \cdot 3 : \frac{15}{32}

(\frac{5}{32}) \cdot 3

Apply rule:

(a) = a

(\frac{5}{32}) = \frac{5}{32}

= \frac{5}{32} \cdot 3

\frac{5}{32} \cdot 3 = \frac{15}{32}

\frac{5}{32} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{5}{32} \cdot \frac{3}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 \cdot 3}{32 \cdot 1}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15}{32 \cdot 1}

Multiply the numbers:

32 \cdot 1 = 32

= \frac{15}{32}

= \frac{15}{32}

= 1733 + \frac{15}{32}

Add and subtract (left to right)

1733 + \frac{15}{32} : \frac{55471}{32}

1733 + \frac{15}{32}

1733 + \frac{15}{32} = \frac{55471}{32}

1733 + \frac{15}{32}

Convert element to fraction:

1733 = \frac{1733 \cdot 32}{32}

= \frac{1733 \cdot 32}{32} + \frac{15}{32}

Since the denominators are equal, combine the fractions:

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

= \frac{1733 \cdot 32 + 15}{32}

1733 \cdot 32 + 15 = 55471

1733 \cdot 32 + 15

Multiply the numbers:

1733 \cdot 32 = 55456

= 55456 + 15

Add the numbers:

55456 + 15 = 55471

= 55471

= \frac{55471}{32}

= \frac{55471}{32}

= \frac{55471}{32}

Convert improper fractions to mixed numbers:

\frac{55471}{32} = 1733 \frac{15}{32}

\frac{55471}{32} = 1733

Remainder

15

\frac{55471}{32}

Write the problem in long division format

32 \overline{∣ 55471}

Divide

55

32

to get

1

Divide

55

32

to get

1

1 32 \overline{∣ 55471}

Multiply the quotient digit

(1)

by the divisor

32

1 32 \overline{∣ 55471} \underline{32}

Subtract

32

from

55

1 32 \overline{∣ 55471} \underline{32} 23

Bring down the next number of the dividend

1 32 \overline{∣ 55471} \underline{32} 234

1 32 \overline{∣ 55471} \underline{32} 234

Divide

234

32

to get

7

Divide

234

32

to get

7

17 32 \overline{∣ 55471} \underline{32} 234

Multiply the quotient digit

(7)

by the divisor

32

17 32 \overline{∣ 55471} \underline{32} 234 \underline{224}

Subtract

224

from

234

17 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 10

Bring down the next number of the dividend

17 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107

17 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107

Divide

107

32

to get

3

Divide

107

32

to get

3

173 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107

Multiply the quotient digit

(3)

by the divisor

32

173 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96}

Subtract

96

from

107

173 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 11

Bring down the next number of the dividend

173 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 111

173 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 111

Divide

111

32

to get

3

Divide

111

32

to get

3

1733 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 111

Multiply the quotient digit

(3)

by the divisor

32

1733 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 111 \underline{96}

Subtract

96

from

111

1733 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 111 \underline{96} 15

1733 32 \overline{∣ 55471} \underline{32} 234 \underline{224} 107 \underline{96} 111 \underline{96} 15

The solution for Long Division of

\frac{55471}{32}

1733

with remainder of

15

1733 Remainder 15

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{55471}{32} = 1733 \frac{15}{32}

= 1733 \frac{15}{32}

= 1733 \frac{15}{32}

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What is 1733+(5/32)*3 ?
The solution to 1733+(5/32)*3 is 1733 15/32

1733+(5/32)*3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1733+(5/32)*3 ?

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