Solved on Mar 10, 2024

Subtract the mixed numbers $8 \frac{1}{8}$ and $1 \frac{5}{8}$ . Give the answer as a mixed number or proper fraction.

STEP 1

Assumptions
1. We are subtracting two mixed numbers: $8 \frac{1}{8}$ and $1 \frac{5}{8}$ .
2. The result should be expressed as a mixed number or a proper fraction, not as an improper fraction.

STEP 2

First, let's write down the mixed numbers to be subtracted.
$8 \frac{1}{8} - 1 \frac{5}{8}$

STEP 3

To subtract mixed numbers, we subtract the whole numbers and the fractions separately.

STEP 4

Subtract the whole numbers.
$8 - 1 = 7$

STEP 5

Now, subtract the fractions.
$\frac{1}{8} - \frac{5}{8}$

STEP 6

Since the fractions have the same denominator, we can subtract the numerators directly.
$\frac{1 - 5}{8}$

STEP 7

Calculate the difference of the numerators.
$1 - 5 = -4$

STEP 8

Write the result of the subtraction of the fractions.
$\frac{-4}{8}$

STEP 9

Since we have a negative fraction, we need to borrow 1 from the whole number part to make the fraction positive.

STEP 10

Subtract 1 from the whole number part.
$7 - 1 = 6$

STEP 11

Convert the 1 we subtracted into eighths since the denominator of our fraction is 8.
$1 = \frac{8}{8}$

STEP 12

Add this to the negative fraction to make it positive.
$\frac{8}{8} + \frac{-4}{8} = \frac{8 - 4}{8}$

STEP 13

Calculate the sum of the fractions.
$\frac{8 - 4}{8} = \frac{4}{8}$

STEP 14

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
$\frac{4}{8} = \frac{4 \div 4}{8 \div 4}$

STEP 15

Calculate the simplified fraction.
$\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$

STEP 16

Combine the whole number part and the simplified fraction to get the final answer.
$6 \frac{1}{2}$
The result of subtracting $8 \frac{1}{8}$ by $1 \frac{5}{8}$ is $6 \frac{1}{2}$ .

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Subtract the mixed numbers $8 \frac{1}{8}$ and $1 \frac{5}{8}$ . Give the answer as a mixed number or proper fraction.

STEP 1

Assumptions
1. We are subtracting two mixed numbers: $8 \frac{1}{8}$ and $1 \frac{5}{8}$ .
2. The result should be expressed as a mixed number or a proper fraction, not as an improper fraction.

STEP 2

First, let's write down the mixed numbers to be subtracted.
$8 \frac{1}{8} - 1 \frac{5}{8}$

STEP 3

To subtract mixed numbers, we subtract the whole numbers and the fractions separately.

STEP 4

Subtract the whole numbers.
$8 - 1 = 7$

STEP 5

Now, subtract the fractions.
$\frac{1}{8} - \frac{5}{8}$

STEP 6

Since the fractions have the same denominator, we can subtract the numerators directly.
$\frac{1 - 5}{8}$

STEP 7

Calculate the difference of the numerators.
$1 - 5 = -4$

STEP 8

Write the result of the subtraction of the fractions.
$\frac{-4}{8}$

STEP 9

Since we have a negative fraction, we need to borrow 1 from the whole number part to make the fraction positive.

STEP 10

Subtract 1 from the whole number part.
$7 - 1 = 6$

STEP 11

Convert the 1 we subtracted into eighths since the denominator of our fraction is 8.
$1 = \frac{8}{8}$

STEP 12

Add this to the negative fraction to make it positive.
$\frac{8}{8} + \frac{-4}{8} = \frac{8 - 4}{8}$

STEP 13

Calculate the sum of the fractions.
$\frac{8 - 4}{8} = \frac{4}{8}$

STEP 14

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
$\frac{4}{8} = \frac{4 \div 4}{8 \div 4}$

STEP 15

Calculate the simplified fraction.
$\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$

STEP 16

Combine the whole number part and the simplified fraction to get the final answer.
$6 \frac{1}{2}$
The result of subtracting $8 \frac{1}{8}$ by $1 \frac{5}{8}$ is $6 \frac{1}{2}$ .

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Subtract the mixed numbers 8188 \frac{1}{8}881​ and 1581 \frac{5}{8}185​. Give the answer as a mixed number or proper fraction.

STEP 1

Assumptions1. We are subtracting two mixed numbers: 8188 \frac{1}{8}881​ and 1581 \frac{5}{8}185​.2. The result should be expressed as a mixed number or a proper fraction, not as an improper fraction.

STEP 2

First, let's write down the mixed numbers to be subtracted.818−1588 \frac{1}{8} - 1 \frac{5}{8}881​−185​

STEP 3

To subtract mixed numbers, we subtract the whole numbers and the fractions separately.

STEP 4

Subtract the whole numbers.8−1=78 - 1 = 78−1=7

STEP 5

Now, subtract the fractions.18−58\frac{1}{8} - \frac{5}{8}81​−85​

STEP 6

Since the fractions have the same denominator, we can subtract the numerators directly.1−58\frac{1 - 5}{8}81−5​

STEP 7

Calculate the difference of the numerators.1−5=−41 - 5 = -41−5=−4

STEP 8

Write the result of the subtraction of the fractions.−48\frac{-4}{8}8−4​

STEP 9

Since we have a negative fraction, we need to borrow 1 from the whole number part to make the fraction positive.

STEP 10

Subtract 1 from the whole number part.7−1=67 - 1 = 67−1=6

STEP 11

Convert the 1 we subtracted into eighths since the denominator of our fraction is 8.1=881 = \frac{8}{8}1=88​

STEP 12

Add this to the negative fraction to make it positive.88+−48=8−48\frac{8}{8} + \frac{-4}{8} = \frac{8 - 4}{8}88​+8−4​=88−4​

STEP 13

Calculate the sum of the fractions.8−48=48\frac{8 - 4}{8} = \frac{4}{8}88−4​=84​

STEP 14

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.48=4÷48÷4\frac{4}{8} = \frac{4 \div 4}{8 \div 4}84​=8÷44÷4​

STEP 15

Calculate the simplified fraction.4÷48÷4=12\frac{4 \div 4}{8 \div 4} = \frac{1}{2}8÷44÷4​=21​

STEP 16

Combine the whole number part and the simplified fraction to get the final answer.6126 \frac{1}{2}621​The result of subtracting 8188 \frac{1}{8}881​ by 1581 \frac{5}{8}185​ is 6126 \frac{1}{2}621​.

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Subtract the mixed numbers $8 \frac{1}{8}$ and $1 \frac{5}{8}$ . Give the answer as a mixed number or proper fraction.

Assumptions
1. We are subtracting two mixed numbers: $8 \frac{1}{8}$ and $1 \frac{5}{8}$ .
2. The result should be expressed as a mixed number or a proper fraction, not as an improper fraction.

First, let's write down the mixed numbers to be subtracted.
$8 \frac{1}{8} - 1 \frac{5}{8}$

Subtract the whole numbers.
$8 - 1 = 7$

Now, subtract the fractions.
$\frac{1}{8} - \frac{5}{8}$

Since the fractions have the same denominator, we can subtract the numerators directly.
$\frac{1 - 5}{8}$

Calculate the difference of the numerators.
$1 - 5 = -4$

Write the result of the subtraction of the fractions.
$\frac{-4}{8}$

Subtract 1 from the whole number part.
$7 - 1 = 6$

Convert the 1 we subtracted into eighths since the denominator of our fraction is 8.
$1 = \frac{8}{8}$

Add this to the negative fraction to make it positive.
$\frac{8}{8} + \frac{-4}{8} = \frac{8 - 4}{8}$

Calculate the sum of the fractions.
$\frac{8 - 4}{8} = \frac{4}{8}$

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
$\frac{4}{8} = \frac{4 \div 4}{8 \div 4}$

Calculate the simplified fraction.
$\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$

Combine the whole number part and the simplified fraction to get the final answer.
$6 \frac{1}{2}$
The result of subtracting $8 \frac{1}{8}$ by $1 \frac{5}{8}$ is $6 \frac{1}{2}$ .