Question

What is the answer please?
I need help

Answer 1

Answer:

25  1/2.

5/12.

Step-by-step explanation:

9 7/24 - 8 7/8

Convert to improper fractions:

= (9*24) + 7) / 24 - (8 * 8 + 7) / 8

= 223/24 - 71/8

The LCM of 8 and 24 is 24 so we convert the second fraction to denominator 24.

= 223 / 24 -  213/24

= 10/24

= 5/12  (answer).

First question:

6 3/8 * 4

=   51 / 8 * 4

= 204 / 8

=  25 1/2

Answer 2

Answer:

see explanation

Step-by-step explanation:

given 6 $\frac{3}{8}$ × 4

Change the mixed number to an improper fraction

6 $\frac{3}{8}$ = $\frac{51}{8}$

The product can now be written as

$\frac{51}{8}$ × $\frac{4}{1}$ ( cancel the 4 and 8 ), leaving

$\frac{51}{2}$ = 25 $\frac{1}{2}$

given 9 $\frac{7}{24}$ - 8 $\frac{7}{8}$

There are 2 possible approaches

Approach 1

note that 9 $\frac{7}{24}$ = 9 + $\frac{7}{24}$

Similarly 8 $\frac{7}{8}$ = 8 + $\frac{7}{8}$

The difference can be expressed as

9 - 8 + $\frac{7}{24}$ - $\frac{7}{8}$

= 1 + $\frac{7}{24}$ - $\frac{21}{24}$ ← with like denominators

= 1 - $\frac{14}{24}$ = $\frac{24}{24}$ - $\frac{14}{24}$

= $\frac{10}{24}$ = $\frac{5}{12}$

Approach 2

Change the mixed numbers to improper fractions

9 $\frac{7}{24}$ = $\frac{223}{24}$, 8 $\frac{7}{8}$ = $\frac{71}{8}$

The difference can now be expressed as

$\frac{223}{24}$ - $\frac{71}{8}$

= $\frac{223}{24}$ - $\frac{213}{24}$ ← like denominators

= $\frac{10}{24}$ = $\frac{5}{12}$