The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?

The fraction models below represent two fractions of the same whole How much of the Fraction 3 over 8 is in the Fraction 1 over 4 class=

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[tex] \frac{3}{8}x = \frac{1}{4} [/tex]

We need to divide by [tex] \frac{3}{8} [/tex] on either side to isolate x

x = [tex] \frac{1}{4} [/tex] ÷ [tex] \frac{3}{8} [/tex]

We need to change and find the reciprocal since it is a division by fraction

x = [tex] \frac{1}{4} [/tex] x [tex] \frac{8}{3} [/tex]

x = [tex] \frac{2}{3} [/tex]