Question

4.3,5.5,6 1/6, 15/4, 4 3/8 greatest to least

Answer 1

Answer: 6 1/6 , 5.5, 4 3/8, 4.3, 3.75

Step-by-step explanation:

4.3 , 5.5 , 36, 3.75, 4.375

Answer 2

Answer:

$\bold6 \frac{1}{6}>5.5>4_{8}^{3}>4.3>\frac{15}{4}\bold$

Solution:

Step 1: First we will convert all the number in fraction form.

$4.3=\frac{4.3 \times 10}{10}=\frac{43}{10}$

$5.5=\frac{5.5 \times 10}{10}=\frac{55}{10}$

$6_{6}^{1}=\frac{37}{6}$

$\frac{15}{4}=\frac{15}{4}$

$4_{8}^{3}=\frac{35}{8}$

So, the new numbers are $\frac{43}{10}, \frac{55}{10}, \frac{37}{6}, \frac{15}{4}, \frac{35}{8}$

Step 2: Now we take the L.C.M(Lowest common multiple) of the denominators.

$L.C.M of 10,10,6,4,8=120$

Step 3: We make the denominator equal.

$\frac{43}{10}=\frac{43 \times12}{10\times12}=\frac{516}{120}$

$\frac{55}{10}=\frac{55 \times 12}{10 \times 12}=\frac{660}{120}$

$\frac{37}{6}=\frac{37 \times 20}{6 \times 20}=\frac{740}{120}$

$\frac{15}{4}=\frac{15 \times 30}{4 \times 30}=\frac{450}{120}$

$\frac{35}{8}=\frac{35 \times 15}{8 \times 15}=\frac{525}{120}$

Step 4: Since denominators are equal we can arrange the numbers from greatest to least by arranging the numerators from greatest to least.

$740>660>525>516>450$

Now arranging the real number ,

$\frac{37}{6}>\frac{55}{10}>\frac{35}{8}>\frac{43}{10}>\frac{15}{4}$

$=6 \frac{1}{6}>5.5>4_{8}^{3}>4.3>\frac{15}{4}$