What is (60-1/8)+(30-1/16) ?

The solution to (60-1/8)+(30-1/16) is 89 13/16

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Popular Pre Algebra >

(60-1/8)+(30-1/16)

Solution

(60 - \frac{1}{8}) + (30 - \frac{1}{16})

Solution

89 \frac{13}{16}

Decimal

89.8125

Solution steps

(60 - \frac{1}{8}) + (30 - \frac{1}{16})

Follow the PEMDAS order of operations

Calculate within parentheses

(60 - \frac{1}{8}) : \frac{479}{8}

60 - \frac{1}{8}

60 - \frac{1}{8} = \frac{479}{8}

60 - \frac{1}{8}

Convert element to fraction:

60 = \frac{60 \cdot 8}{8}

= \frac{60 \cdot 8}{8} - \frac{1}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{60 \cdot 8 - 1}{8}

60 \cdot 8 - 1 = 479

60 \cdot 8 - 1

Multiply the numbers:

60 \cdot 8 = 480

= 480 - 1

Subtract the numbers:

480 - 1 = 479

= 479

= \frac{479}{8}

= \frac{479}{8}

= \frac{479}{8} + (30 - \frac{1}{16})

Calculate within parentheses

(30 - \frac{1}{16}) : \frac{479}{16}

30 - \frac{1}{16}

30 - \frac{1}{16} = \frac{479}{16}

30 - \frac{1}{16}

Convert element to fraction:

30 = \frac{30 \cdot 16}{16}

= \frac{30 \cdot 16}{16} - \frac{1}{16}

Since the denominators are equal, combine the fractions:

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

= \frac{30 \cdot 16 - 1}{16}

30 \cdot 16 - 1 = 479

30 \cdot 16 - 1

Multiply the numbers:

30 \cdot 16 = 480

= 480 - 1

Subtract the numbers:

480 - 1 = 479

= 479

= \frac{479}{16}

= \frac{479}{16}

= \frac{479}{8} + \frac{479}{16}

Add and subtract (left to right)

\frac{479}{8} + \frac{479}{16} : \frac{1437}{16}

\frac{479}{8} + \frac{479}{16}

\frac{479}{8} + \frac{479}{16} = \frac{1437}{16}

\frac{479}{8} + \frac{479}{16}

Least Common Multiplier of

8, 16 : 16

8, 16

Least Common Multiplier (LCM)

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

Prime factorization of

16 : 2 \cdot 2 \cdot 2 \cdot 2

16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2

Multiply each factor the greatest number of times it occurs in either

8

16

= 2 \cdot 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 2 = 16

= 16

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

16

For

\frac{479}{8} :

multiply the denominator and numerator by

2

\frac{479}{8} = \frac{479 \cdot 2}{8 \cdot 2} = \frac{958}{16}

= \frac{958}{16} + \frac{479}{16}

Since the denominators are equal, combine the fractions:

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

= \frac{958 + 479}{16}

Add the numbers:

958 + 479 = 1437

= \frac{1437}{16}

= \frac{1437}{16}

= \frac{1437}{16}

Convert improper fractions to mixed numbers:

\frac{1437}{16} = 89 \frac{13}{16}

\frac{1437}{16} = 89

Remainder

13

\frac{1437}{16}

Write the problem in long division format

16 \overline{∣ 1437}

Divide

143

16

to get

8

Divide

143

16

to get

8

8 16 \overline{∣ 1437}

Multiply the quotient digit

(8)

by the divisor

16

8 16 \overline{∣ 1437} \underline{128}

Subtract

128

from

143

8 16 \overline{∣ 1437} \underline{128} 15

Bring down the next number of the dividend

8 16 \overline{∣ 1437} \underline{128} 157

8 16 \overline{∣ 1437} \underline{128} 157

Divide

157

16

to get

9

Divide

157

16

to get

9

89 16 \overline{∣ 1437} \underline{128} 157

Multiply the quotient digit

(9)

by the divisor

16

89 16 \overline{∣ 1437} \underline{128} 157 \underline{144}

Subtract

144

from

157

89 16 \overline{∣ 1437} \underline{128} 157 \underline{144} 13

89 16 \overline{∣ 1437} \underline{128} 157 \underline{144} 13

The solution for Long Division of

\frac{1437}{16}

89

with remainder of

13

89 Remainder 13

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1437}{16} = 89 \frac{13}{16}

= 89 \frac{13}{16}

= 89 \frac{13}{16}

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Frequently Asked Questions (FAQ)

What is (60-1/8)+(30-1/16) ?
The solution to (60-1/8)+(30-1/16) is 89 13/16

(60-1/8)+(30-1/16)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (60-1/8)+(30-1/16) ?

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