solve the equation 5 3/8 = k + 3 1/5 (1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

First, convert the mixed numbers to improper fractions:

5 3/8 = 43/8
3 1/5 = 16/5

Now, we can rewrite the equation with improper fractions:

43/8 = k + 16/5

Next, find a common denominator for the fractions on the right side of the equation. The common denominator between 8 and 5 is 40.

Now, convert the fractions to have a denominator of 40:

43/8 = (43*5)/(8*5) = 215/40
16/5 = (16*8)/(5*8) = 128/40

Now, the equation becomes:

215/40 = k + 128/40

Combine the fractions on the right side:

215/40 = k + 128/40
215/40 - 128/40 = k
87/40 = k

Therefore, k = 87/40 or k = 2 7/40.

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