Question

In a beaded necklace 3/12, of the beads
are blue and 1/3 are green. Use benchmark
fractions to estimate about what fraction
of the beads are blue or green. Explain.

Answer 1

Answer: 7/12 of the beads are blue and green

Step-by-step explanation: To make both denominators of fraction 3/12 and 1/3 equal, you have to change both denominators to the lowest common denominator. Since the LCD (lowest common denominator) is 12 you have to multiply 1/3 by 4 to make the two denominators match.

1/3 x 4/4= 4/12

Then to find the total fraction of both green and blue beads on the necklace, you simply have to add the two fractions together.

4/12+3/12= 7/12

hope this helps :)

Answer 2

$\dfrac{7}{12}$ of the beads are blue or green.

Important information:

• Blue beads = $\dfrac{3}{12}$
• Green beads = $\dfrac{1}{3}$

We need to find the fraction of the beads that are blue or green.

Benchmark fractions:

It is given that $\dfrac{3}{12}$ of the beads are blue and $\dfrac{1}{3}$ are green.

The LCM of denominators 3 and 12 is 12. So, we will use the benchmark fraction of $\dfrac{1}{12}$.

$\dfrac{1}{3}=\dfrac{1\times 4}{3\times 4}$

$\dfrac{1}{3}=\dfrac{4}{12}$

Since 3 out of 12 are blue beads and 4 out of 12 are green beads, therefore total 7 beads are blue or yellow out of 12 beads.

$\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}$

Thus, $\dfrac{7}{12}$ of the beads are blue or green.

Find out more about 'Benchmark fractions' here:

https://brainly.com/question/8829934