Question

a marvelous spatuletail is flying at an elevation of $6\frac{2}{9}$ meters. its chick is flying at an elevation of $10\frac{1}{4}$ meters.
drag the white cards onto the gray rectangle to write an inequality that correctly compares the elevations.
$10\frac{1}{4}$ $6\frac{2}{9}$ <
which one of the following descriptions is correct?
option 1: correct

Explanation:

Step1: Convert mixed numbers to improper fractions

$6\frac{2}{9}=\frac{6\times9 + 2}{9}=\frac{54+2}{9}=\frac{56}{9}\approx6.22$
$10\frac{1}{4}=\frac{10\times4+1}{4}=\frac{40 + 1}{4}=\frac{41}{4}=10.25$

Step2: Compare the two values

Since $6.22<10.25$, so $6\frac{2}{9}<10\frac{1}{4}$

Answer:

$6\frac{2}{9}<10\frac{1}{4}$