Question

Evaluate: 5/6 + 4/9 =___?​

Answer 1

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

- List down their multiples

The multiples of 6  = 6 12 18 24

The multiples of 9  = 9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

List down their multiples

The multiple of 6

6 12 18 24

The multiple of 9

9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

- Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

- Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer 2

Answer:

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Question

evaluate: 5/6 + 4/9 =___?​

Answer

$1\frac{5}{18}$

Step-by-step explanation:

$\frac{5}{6} +\frac{4}{9} =~?$

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(5/6, 4/9() = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{5}{6} ~x~\frac{3}{3}) +(\frac{4}{9}~ x~\frac{2}{2}) =~?$

Complete the multiplication and the equation becomes

$\frac{15}{18} +\frac{8}{18} ~=~?$

Then 15 +8 =23

And   18 =       18

which equals the fraction $\frac{23}{18}$ and is the same as 23÷ 18

Convert to a mixed number using

long division for 23 ÷ 18 = 1R5, so

$1\frac{5}{18}$