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liberstina [14]

4 years ago

11

Sum of 7 7/8 + 2 11/12

1 answer:

dlinn [17]4 years ago

4 0

Solutions

1) <span>Add the whole numbers first ( 7 and 2 )

</span><span>9+<span>7/8</span>+<span>11/12

2) </span></span>Find the Least Common Denominator (LCD) of

<span><span>7 / 8</span>,<span>11 / 12
</span></span>
Start by Listing Multiples

List out all multiples of each denominator, and find the first common one.

8 : <span><span>8,16,24</span>
</span>
12 : <span>12,24
</span>
Therefore, the LCD is <span>24

</span>Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : <span>2,2,2
</span>
12 : <span>2,2,3
</span>
Therefore, the LCD is <span>2×2×2×3=24

3) </span>Make the denominators the same as the LCD

<span>9+<span><span>7×3 / </span><span>8×3</span></span>+<span><span>11×2 / </span><span>12×2

</span></span></span>4) Simplify. Denominators are now the same

<span>9+<span>21 / 24</span>+<span>22 / 24

5) J</span></span>oin the denominators

<span>9+<span><span>21+22 / </span>24</span></span>
6) Simplify

<span>9+<span>43 / 24

7) </span></span>Convert 43 / 24 <span>to mixed fraction

</span><span>9+1 <span>19 / 24

8) </span></span>Simplify

<span><span>10 <span>19 / 24</span></span></span>

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