Question

1. abigail is making flower bouquets. she has 16 roses and 2 carnations. she wants to make identical bouquets and use all th flowers. what is the greatest number of bouquets she can ma

8.
$5 \frac{1}{4} \cdot \frac{1}{7} = $

Explanation:

Problem 7 (assuming the number of carnations is 24, as the text seems cut off, a common similar problem has 24 carnations)

Step1: Identify the numbers

We have 16 roses and assume 24 carnations (common context). We need to find the GCD of 16 and 24.

Step2: Factorize the numbers

Factorize 16: $16 = 2\times2\times2\times2$
Factorize 24: $24 = 2\times2\times2\times3$

Step3: Find the GCD

The common factors are $2\times2\times2 = 8$

Step1: Convert mixed number to improper fraction

Convert $5\frac{1}{4}$ to improper fraction: $5\frac{1}{4}=\frac{5\times4 + 1}{4}=\frac{21}{4}$

Step2: Multiply the fractions

Multiply $\frac{21}{4}$ and $\frac{1}{7}$: $\frac{21}{4}\times\frac{1}{7}=\frac{21\times1}{4\times7}=\frac{3}{4}$ (since 21 and 7 cancel out, 21÷7 = 3)

Answer:

8

Problem 8