Solve the Multiplication: 7 × 3/8 Step by Step

Question

Solve:

7×38= 7\times\frac{3}{8}=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's move the product to the numerator
00:07 Let's calculate the product
00:11 Now let's convert to a mixed fraction
00:14 Let's break down 21 into 16 plus 5
00:18 Let's break down the fraction into a whole number and remainder
00:26 Let's convert from improper fraction to whole number, and combine with mixed fraction
00:33 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will start by multiplying the whole number 7 by the fraction 38 \frac{3}{8} using the rule for multiplying a whole number by a fraction.

Calculate the product:

  • 7×38=7×38 7 \times \frac{3}{8} = \frac{7 \times 3}{8}
  • =218 = \frac{21}{8}

The fraction 218 \frac{21}{8} is an improper fraction, meaning the numerator is greater than the denominator. To convert it to a mixed number, we divide 21 by 8:

  • 21 divided by 8 equals 2 with a remainder of 5.
  • This gives us the mixed number: 258 2\frac{5}{8}

The remainder becomes the numerator of the fraction part, and the denominator remains the same as in the original fraction.

Therefore, the solution to the problem is 258 2\frac{5}{8} .

Answer

258 2\frac{5}{8}