The fraction of the amount Liang has left is \(\frac{2}{21}\)
- Let X = Amount spent on a pen; X = \(\frac{1}{3}\)
- Let Y = Amount spent on books; Y = \(\frac{4}{7}\)
- Let M = Amount of money Liang has got; M =?
- Let L = Amount of money Liang will have left; L = ?
Further Explanation
To derive L (amount of money Liang will have left), add X (amount spent on a pen) and Y (amount spent on books) together, then the derived value be subtracted from M (fraction of total amount Liang has got) i.e.: M – (X + Y)
Therefore, L = M – (X + Y)
Deriving (X + Y)
= X + Y
= \(\frac{1}{3}\) + \(\frac{4}{7}\)
= (1 x 7) + (3 x 4) / 21
= (7) + (12) / 21
= 7 + 12 / 21
= \(\frac{19}{21}\)
X + Y = \(\frac{19}{21}\)
Since the lowest common denominator of the fraction of X and Y = 21, then the fraction of M = \(\frac{21}{21}\)
Thus, M = \(\frac{21}{21}\)
Recall, L = M – (X + Y)
Thus,
L = \(\frac{21}{21}\) – \(\frac{19}{21}\)
L = (1 x 21) – (1 x 19) / 21
L = (21) – (19) /21
L = 21 – 19 /21
L = \(\frac{2}{21}\)
Hence, the amount Liang will have left is \(\frac{2}{21}\)
LEARN MORE:
- Numbers: brainly.com/question/2906770
- mixed numbers brainly.com/question/12853142
- fraction brainly.com/question/6201432
KEYWORDS:
- denominator
- numerator
- numbers
- fraction
- liang
