What would be the LCD of 1/6 & 3/8?

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/6, 3/8

For the denominators (6, 8) the least common multiple (LCM) is 24.

LCM(6, 8)

Therefore, the least common denominator (LCD) is 24.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/6 = 1/6 × 4/4 = 4/24

3/8 = 3/8 × 3/3 = 9/24

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Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.

elixir [45]

Answer:

She would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

Step-by-step explanation:

To make 1 recipe Amelia uses = $1 \frac{3}{4}\ cups$ of flour.

So, to make $2\frac{1}{2}$ times the recipe she would need = $1 \frac{3}{4}\times 2\frac{1}{2}$ .

We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).

$=\frac{7}{4}\times \frac{5}{2}$

$=\frac{35}{8}$

Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

$\frac{35}{8}=4\frac{3}{8}$