Solve: (3/5 × 1/2) + 3/10 Fraction Operations

Question

Solve the following:

35×12+310= \frac{3}{5}\times\frac{1}{2}+\frac{3}{10}=

Video Solution

Solution Steps

00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:10 Calculate the multiplications
00:18 Add with the common denominator
00:23 Calculate the numerator
00:26 Reduce the fraction as much as possible
00:30 Make sure to divide both numerator and denominator
00:33 And this is the solution to the question

Step-by-Step Solution

To solve the given expression, follow these steps:

First, multiply the fractions 35\frac{3}{5} and 12\frac{1}{2}:

35×12=3×15×2=310 \frac{3}{5} \times \frac{1}{2} = \frac{3 \times 1}{5 \times 2} = \frac{3}{10}

Now, add 310\frac{3}{10} to the result of the multiplication:

Since the fractions 310\frac{3}{10} and 310\frac{3}{10} have the same denominator, we can simply add their numerators:

310+310=3+310=610 \frac{3}{10} + \frac{3}{10} = \frac{3 + 3}{10} = \frac{6}{10}

Simplify 610\frac{6}{10} by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

610=6÷210÷2=35 \frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5}

Therefore, the solution to the problem is 35 \frac{3}{5} .

Answer

35 \frac{3}{5}