What is (4+1/2+1/4)\div 4 ?

The solution to (4+1/2+1/4)\div 4 is 1 3/16

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Popular Pre Algebra >

(4+1/2+1/4)\div 4

Solution

(4 + \frac{1}{2} + \frac{1}{4}) \div 4

Solution

1 \frac{3}{16}

Decimal

1.1875

Solution steps

(4 + \frac{1}{2} + \frac{1}{4}) \div 4

Follow the PEMDAS order of operations

Calculate within parentheses

(4 + \frac{1}{2} + \frac{1}{4}) : \frac{19}{4}

4 + \frac{1}{2} + \frac{1}{4}

4 + \frac{1}{2} + \frac{1}{4} = \frac{19}{4}

4 + \frac{1}{2} + \frac{1}{4}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} + \frac{1}{2} + \frac{1}{4}

Least Common Multiplier of

1, 2, 4 : 4

1, 2, 4

Least Common Multiplier (LCM)

Prime factorization of

1

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Compute a number comprised of factors that appear in at least one of the following:

1, 2, 4

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

4

For

\frac{4}{1} :

multiply the denominator and numerator by

4

\frac{4}{1} = \frac{4 \cdot 4}{1 \cdot 4} = \frac{16}{4}

For

\frac{1}{2} :

multiply the denominator and numerator by

2

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

= \frac{16}{4} + \frac{2}{4} + \frac{1}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{16 + 2 + 1}{4}

Add the numbers:

16 + 2 + 1 = 19

= \frac{19}{4}

= \frac{19}{4}

= \frac{19}{4} \div 4

Multiply and divide (left to right)

\frac{19}{4} \div 4 : \frac{19}{16}

\frac{19}{4} \div 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{19}{4} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{19}{4} \cdot \frac{1}{4}

Multiply fractions:

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

= \frac{19 \cdot 1}{4 \cdot 4}

Multiply the numbers:

19 \cdot 1 = 19

= \frac{19}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{19}{16}

= \frac{19}{16}

Convert improper fractions to mixed numbers:

\frac{19}{16} = 1 \frac{3}{16}

\frac{19}{16} = 1

Remainder

3

\frac{19}{16}

Write the problem in long division format

16 \overline{∣ 19}

Divide

19

16

to get

1

Divide

19

16

to get

1

1 16 \overline{∣ 19}

Multiply the quotient digit

(1)

by the divisor

16

1 16 \overline{∣ 19} \underline{16}

Subtract

16

from

19

1 16 \overline{∣ 19} \underline{16} 3

1 16 \overline{∣ 19} \underline{16} 3

The solution for Long Division of

\frac{19}{16}

1

with remainder of

3

1 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{19}{16} = 1 \frac{3}{16}

= 1 \frac{3}{16}

= 1 \frac{3}{16}

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Frequently Asked Questions (FAQ)

What is (4+1/2+1/4)\div 4 ?
The solution to (4+1/2+1/4)\div 4 is 1 3/16

(4+1/2+1/4)\div 4

Solution

Solution

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Frequently Asked Questions (FAQ)

What is (4+1/2+1/4)\div 4 ?

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