1. Evaluate: 5/6 + 4/9 = *
a. 1 5/18
b. 1 5/6
c. 1 3/8
d. 1 4/18
2. Evaluate: 5/6 + 4/9 = *
a. 14/12
b. 7/6
c. 1 1/6
d. 1/4
a. 1 5/18
b. 1 5/6
c. 1 3/8
d. 1 4/18
2. Evaluate: 5/6 + 4/9 = *
a. 14/12
b. 7/6
c. 1 1/6
d. 1/4
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Answer:
23/18 or 1 5/18
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:
1. a. 1 5/18
Step-by-step explanation:
LCD: 18 (6 9)
÷ (3 2)
18÷6=3×5= 15/18
18÷9=2×4= 8/18
15+8=23 23/18 or 1 5/18