What is 2 and 3/8 x 16 in simplest form?

Fraction Form (Mixed Number Form) = 2 107/200

Decimal Form: 2.535

Step-by-step explanation:

Mixed Number x Fraction

Convert 16 to a fraction : 16/100

2 and 3/8 x 16

Steps:

2 3/8 + 16/100

=(2+0)+(3/8+16/100)

=2+3*25/8*25+16*2/100*2

=2+75/200+32/200

=2+75+32/200

=2+107/200

=2 107/200

Explanation:

For the problem:

2 3/8 + 16/100

Combine the whole numbers and fractions together:

(2+0)+(3/8+16/100)

The whole numbers part is:

2 + 0 = 2

For the fractions part:

The Least Common Multiple (LCM) of 8 and 100 is 200. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

3/8+16/100=3*25/8*25+16*2/100*2=75/200+32/200

Now that the fractions have like denominators, add the numerators:

75/200+32/200=75+32/200=107/200

Put the whole number and fraction together:

2+107/200= 2 107/200

The result is:

2 3/8 + 16/100 = 2 107/200

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

think the answer would beb