Question

There are 16 oranges and 28 mangos. Write the simplified ratio of nangos to the total peices of fruit in 3 different ways.

Answer 1

To write the simplified ratio of mangos to the total pieces of fruit in three different ways, divide both the number of mangos and the total number of fruit by their greatest common divisor (GCD). The resulting ratios are 7:11, 7:11, and approximately 2:3.14.

Step-by-step explanation:

To write the simplified ratio of mangos to the total pieces of fruit in three different ways, we need to find the greatest common divisor (GCD) of the number of mangos and the total number of fruit, and then divide both numbers by the GCD.

First, let's find the GCD of 28 and 44:

• 28 = 2 x 2 x 7
• 44 = 2 x 2 x 11

The GCD is 2 x 2 = 4. Now, let's divide both numbers by 4:

• 28 ÷ 4 = 7
• 44 ÷ 4 = 11

So, the simplified ratio of mangos to the total pieces of fruit is 7:11.

Second method:

• 28 ÷ 4 = 7
• 44 ÷ 4 = 11

The simplified ratio of mangos to the total pieces of fruit is still 7:11.

Third method:

• 28 ÷ 14 = 2
• 44 ÷ 14 = 3.14 (rounded to two decimal places)

The simplified ratio of mangos to the total pieces of fruit is approximately 2:3.14.