Solve these two math problems: 1. Complete the equivalent fraction: 19/7 = 76/?. 2. Express 16/3 as a decimal…

Question

Solve these two math problems: 1. Complete the equivalent fraction: 19/7 = 76/?. 2. Express 16/3 as a decimal correct to 4 decimal places.

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for questions 6 and 7.

6. Complete the equivalent fraction by filling in the box.

\frac{19}{7} = \frac{76}{\square}

Find the factor by which the numerator 19 was multiplied to get 76.
$76 \div 19 = 4$
So, the numerator was multiplied by 4.
Multiply the denominator 7 by the same factor to find the missing value.
$7 \times 4 = 28$
The missing value is 28.

The completed equivalent fraction is $\boxed{\mathbf{\frac{19}{7} = \frac{76}{28}}}$ .

7. Express 16/3 as a decimal correct to 4 decimal places.
Divide 16 by 3.
$16 \div 3 = 5.333333...$
This is a repeating decimal where the digit 3 repeats infinitely.
Round the decimal to 4 decimal places.
To round to 4 decimal places, we look at the fifth decimal place. If it is 5 or greater, we round up the fourth decimal place. If it is less than 5, we keep the fourth decimal place as it is.
The decimal is $5.3333\underline{3}...$ . The fifth decimal place is 3, which is less than 5.
Apply the rounding rule.
Since the fifth decimal place is 3, we keep the fourth decimal place as 3.
$5.3333$
The decimal $16/3$ correct to 4 decimal places is $\boxed{\mathbf{5.3333}}$ .

Solve these two math problems: 1. Complete the equivalent fraction: 19/7 = 76/?. 2. Express 16/3 as a decimal correct to 4 decimal places.