Mathematics, 02.01.2022 19:20 weeblordd

4 2/3 + 1 1/6 2. 5 3/5 + 3/10 3. 8 5/8 + 1 5/12
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Answers

Answer from: potternatalie90

✏️FRACTIONS

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GIVEN:

1.) 4 2/3 + 1 1/6

2.) 5 3/5 + 3/10

3.) 8 5/8 + 1 5/12

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ANSWER:

$1.) \: \rm \underline{\boxed{ \orange{5 \frac{5}{6} }}}$

$2.) \: \rm \underline{\boxed{ \orange{5 \frac{9}{10}}}}$

$3.) \: \rm\underline {\boxed{\orange{10 \frac{1}{24}}}}$

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EXPLAINATION:

To add dissimilar fraction

Change dissimilar fraction to similar fractions before adding.Add the numerator. Write the sum over the common denominator.With mixed forms, add the fraction first, then the whole numbers.When the fraction in the sum is an improper fraction, rename it as a mixed form. Regroup the whole numbers in the sum.If the sum is equal to 1 or more than 1, rename and regroup.

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SOLUTION:

$1.) \: \rm{4 \frac{2}{3} + 1 \frac{1}{6} }$

STEP 1:

Find the LCD.

$\: \: \: \: \rm{4 \frac{2}{3}} \: \: \: \: \: \: \: \: \: \rm{ \frac{2}{3} } \rm{= \frac{}{ \orange{6}}}\\ { + } \underline{ \: \: \rm{ 1 \frac{1}{6}} \: \: \: \: \: \: \: \: } \: \underline{ \rm{ \frac{1}{ 6} = \frac{}{ \orange{6}} }}$

STEP 2:

Find the missing numerators.

$\rm{(6 \div 3) \times 2 = 4}$

$\rm{(6 \div 6 ) \times 1 = 1}$

STEP 3:

Write the equivalent forms, them add.

$4 \frac{2}{3} = 4 \frac{4}{6}$

$\rm{1 \frac{1}{6} } \rm{= \underline { 1 \frac{1}{6} }\: \: \: \: \: \: }$

$\: \: \: \: \: \: \: \: \: \: \rm{5 \frac{5}{6} }$

The final answer is

$\rm \underline{ \boxed{ \orange{5 \frac{5}{6} }}}$

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$2.) \: \rm{5 \frac{3}{5} + \frac{3}{10} }$

STEP 1:

Find the LCD.

$\: \: \: \rm{5 \frac{3}{5}} \: \: \: \: \: \: \: \: \: \rm{ \frac{3}{5} = \frac{}{ \orange{10}} }$

$\rm{\underline{\: \: \:\frac{3}{10}\: \: \:} \: \: \: \: \: } \: \: \: \rm{\underline{\frac{3}{10} = \frac{}{ \orange{10}}} }$

STEP 2:

Find the missing numerators.

$\rm{(10 \div 5) \times 3 = 6}$

$\rm{(10 \div 10) \times 3 = 3}$

STEP 3:

Write the equivalent forms, them add.

$\rm{5 \frac{3}{5} = 5 \frac{6}{10} }$

$\rm{ \frac{3}{10} \: = \frac{3}{10}}$

$\: \: \: \: \: \: \: \: \rm{5 = \frac{9}{10}}$

The final answer is

$\rm \underline{ \boxed{ \orange{5 \frac{9}{10}} }}$

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$3.) \: 8 \frac{5}{8} + 1 \frac{5}{12}$

STEP 1:

Find the LCD.

$\rm{8 \frac{5}{8} \: \: \: \: \: \: \: \frac{5}{8} = \frac{}{ \orange{24}}}$

$1 \frac{5}{12} \: \: \: \: \: \: \frac{5}{12} = \frac{}{ \orange{24}}$

STEP 2:

Find the missing numerators.

$\rm{(24 \div 8) \times 5 = 15}$

$\rm{(24 \div 12) \times 5 = 10}$

STEP 3:

Write the equivalent forms, them add.

$\rm{8 \frac{2}{3} = 8 \frac{15}{24} }$

$\rm{1 \frac{5}{12} = 1\frac{10}{24} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \rm{ 9 \frac{25}{24} }$

STEP 4:

Rename the fraction.

$\: \: \: \: \: \: \: \rm{1} \\ \rm{24 \sqrt{25}} \: \: \: \: \: \\ \underline{ \: \: \: \: \: \: \rm{24 } \: \: \: \: }\\ \: \: \: \: \: \: \rm{1}$

STEP 5:

Regroup the sum.

$9 + 1 \frac{1}{24} = 10 \frac{1}{24}$

The final answer is

$\rm \underline {\boxed{ \orange{10 \frac{1}{24} }}}$

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#CarryOnlearning

Answer from: Quest

step-by-step explanation:

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europa2433

Answer from: Quest

Hey bby was a good way i just got

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4 2/3 + 1 1/6 2. 5 3/5 + 3/10 3. 8 5/8 + 1 5/12
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