Question

Leah wrote 2 different fractions with the same denominator.Both fractions were less than 1. Can their sum equal 1? Can their sum be greater than 1? Explain.

Answer 1

Answer:

1. Yes

2. Yes

Step-by-step explanation:

Leah wrote 2 different fractions with the same denominator. Both fractions were less than 1.

1. Can their sum equal 1?

Let Leah fractions be $\dfrac{6}{7}$ and $\dfrac{1}{7}.$ Both these fractions have the same denominators and are less than 1. Find their sum:

$\dfrac{6}{7}+\dfrac{1}{7}=\dfrac{7}{7}=1$

2. Can their sum be greater than 1?

Let Leah fractions be $\dfrac{6}{7}$ and $\dfrac{5}{7}$. Both these fractions have the same denominators and are less than 1. Find their sum:

$\dfrac{6}{7}+\dfrac{5}{7}=\dfrac{11}{7}=1\dfrac{4}{7}>1$