What is 301/2× 21/4 ?

The solution to 301/2× 21/4 is 790 1/8

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Popular Pre Algebra >

301/2× 21/4

Solution

301/2 \times 21/4

Solution

790 \frac{1}{8}

Decimal

790.125

Solution steps

301/2 \times 21/4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

301/2 = \frac{301}{2}

= \frac{301}{2} \times 21/4

\frac{301}{2} \times 21 = \frac{6321}{2}

\frac{301}{2} \cdot 21

Convert element to fraction:

21 = \frac{21}{1}

= \frac{301}{2} \cdot \frac{21}{1}

Apply the fraction rule:

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

= \frac{301 \cdot 21}{2 \cdot 1}

Multiply the numbers:

301 \cdot 21 = 6321

= \frac{6321}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{6321}{2}

= \frac{6321}{2} /4

\frac{6321}{2} /4 = \frac{6321}{8}

\frac{6321}{2} /4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{6321}{2} \div \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{6321}{2} \cdot \frac{1}{4}

Multiply fractions:

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

= \frac{6321 \cdot 1}{2 \cdot 4}

Multiply the numbers:

6321 \cdot 1 = 6321

= \frac{6321}{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{6321}{8}

= \frac{6321}{8}

Convert improper fractions to mixed numbers:

\frac{6321}{8} = 790 \frac{1}{8}

\frac{6321}{8} = 790

Remainder

1

\frac{6321}{8}

Write the problem in long division format

8 \overline{∣ 6321}

Divide

63

8

to get

7

Divide

63

8

to get

7

7 8 \overline{∣ 6321}

Multiply the quotient digit

(7)

by the divisor

8

7 8 \overline{∣ 6321} \underline{56}

Subtract

56

from

63

7 8 \overline{∣ 6321} \underline{56} 7

Bring down the next number of the dividend

7 8 \overline{∣ 6321} \underline{56} 72

7 8 \overline{∣ 6321} \underline{56} 72

Divide

72

8

to get

9

Divide

72

8

to get

9

79 8 \overline{∣ 6321} \underline{56} 72

Multiply the quotient digit

(9)

by the divisor

8

79 8 \overline{∣ 6321} \underline{56} 72 \underline{72}

Subtract

72

from

72

79 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 0

Bring down the next number of the dividend

79 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 01

79 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 01

Divide

1

8

to get

0

Divide

1

8

to get

0

790 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 01

Multiply the quotient digit

(0)

by the divisor

8

790 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 01 \underline{0}

Subtract

0

from

1

790 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 01 \underline{0} 1

790 8 \overline{∣ 6321} \underline{56} 72 \underline{72} 01 \underline{0} 1

The solution for Long Division of

\frac{6321}{8}

790

with remainder of

1

790 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{6321}{8} = 790 \frac{1}{8}

= 790 \frac{1}{8}

= 790 \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is 301/2× 21/4 ?
The solution to 301/2× 21/4 is 790 1/8

301/2× 21/4

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 301/2× 21/4 ?

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