Question

simplify 5/12 - 3/16​

Answer 1

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 12 and 16 is 48

Next, find the equivalent fraction of both fractional numbers with denominator 48

For the 1st fraction, since 12 × 4 = 48,

5

12

=

5 × 4

12 × 4

=

20

48

Likewise, for the 2nd fraction, since 16 × 3 = 48,

3

16

=

3 × 3

16 × 3

=

9

48

Add the two like fractions:

20

48

+

9

48

=

20 + 9

48

=

29

48

So, 5/12 + 3/16 = 29/48

Answer 2

$= > \frac{5}{12} - \frac{3}{16}$

• Make the denominator same

$= > (\frac{5 \times 16}{12 \times 16} ) - ( \frac{3 \times 12}{16 \times 12} )$

=> $\frac{80}{192}$ - $\frac{36}{192}$

• Subtract the numerators

=> $\frac{ (80~-~36)}{ 192 }$

=> $\frac{ 44 }{ 192 }$