What is 98\div 94\times 100 ?

The solution to 98\div 94\times 100 is 104 12/47

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98\div 94\times 100

Solution

98 \div 94 \times 100

Solution

104 \frac{12}{47}

Solution steps

98 \div 94 \times 100

Follow the PEMDAS order of operations

Multiply and divide (left to right)

98 \div 94 = \frac{98}{94}

= \frac{98}{94} \times 100

\frac{98}{94} \times 100 = \frac{4900}{47}

\frac{98}{94} \cdot 100

Cancel

\frac{98}{94} : \frac{49}{47}

\frac{98}{94}

Factor the number:

98 = 2 \cdot 49

= \frac{2 \cdot 49}{94}

Factor the number:

94 = 2 \cdot 47

= \frac{2 \cdot 49}{2 \cdot 47}

Cancel the common factor:

2

= \frac{49}{47}

= \frac{49}{47} \cdot 100

\frac{49}{47} \cdot 100 = \frac{4900}{47}

\frac{49}{47} \cdot 100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{49}{47} \cdot \frac{100}{1}

Apply the fraction rule:

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

= \frac{49 \cdot 100}{47 \cdot 1}

Multiply the numbers:

49 \cdot 100 = 4900

= \frac{4900}{47 \cdot 1}

Multiply the numbers:

47 \cdot 1 = 47

= \frac{4900}{47}

= \frac{4900}{47}

= \frac{4900}{47}

Convert improper fractions to mixed numbers:

\frac{4900}{47} = 104 \frac{12}{47}

\frac{4900}{47} = 104

Remainder

12

\frac{4900}{47}

Write the problem in long division format

47 \overline{∣ 4900}

Divide

49

47

to get

1

Divide

49

47

to get

1

1 47 \overline{∣ 4900}

Multiply the quotient digit

(1)

by the divisor

47

1 47 \overline{∣ 4900} \underline{47}

Subtract

47

from

49

1 47 \overline{∣ 4900} \underline{47} 2

Bring down the next number of the dividend

1 47 \overline{∣ 4900} \underline{47} 20

1 47 \overline{∣ 4900} \underline{47} 20

Divide

20

47

to get

0

Divide

20

47

to get

0

10 47 \overline{∣ 4900} \underline{47} 20

Multiply the quotient digit

(0)

by the divisor

47

10 47 \overline{∣ 4900} \underline{47} 20 \underline{0}

Subtract

0

from

20

10 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 20

Bring down the next number of the dividend

10 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 200

10 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 200

Divide

200

47

to get

4

Divide

200

47

to get

4

104 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 200

Multiply the quotient digit

(4)

by the divisor

47

104 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 200 \underline{188}

Subtract

188

from

200

104 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 200 \underline{188} 12

104 47 \overline{∣ 4900} \underline{47} 20 \underline{0} 200 \underline{188} 12

The solution for Long Division of

\frac{4900}{47}

104

with remainder of

12

104 Remainder 12

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4900}{47} = 104 \frac{12}{47}

= 104 \frac{12}{47}

= 104 \frac{12}{47}

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Frequently Asked Questions (FAQ)

What is 98\div 94\times 100 ?
The solution to 98\div 94\times 100 is 104 12/47