Question

1. choose the lcd and the gcf for shift 1 in the word problem below. when the fraction is in its simplest form, select gcf = 1. a large bakery runs two shifts to make pastries. the refrigerator had 8\frac{1}{3} blocks of butter before the first shift. shift 1 used 5\frac{1}{2} butter blocks. if shift 2 requires 12\frac{1}{3} butter blocks, how many more blocks are needed? shift 1 usage: 8\frac{1}{3}-5\frac{1}{2} lcd shift 1 = gcf shift 1 =

Explanation:

Step1: Find the LCD of denominators 2 and 3

The denominators of the fractions in shift - 1 usage are 2 and 3. Since 2 and 3 are prime numbers, the least - common denominator (LCD) is their product.
$2\times3 = 6$

Step2: Find the GCF of numerators and denominators in simplest form

The fractions are $\frac{1}{2}$ and $\frac{1}{3}$. In simplest form, the greatest - common factor (GCF) of the numerators and denominators of the non - whole part of the mixed numbers (when considering the fraction part) is 1.

Answer:

LCD Shift 1 = 6
GCF Shift 1 = 1