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2 votes
What is the value for 43.7 x 0.25

2 Answers

5 votes
0.25 * 43.7
= 437/40
= 10(whole number)37/40
= 10.925
Spelled result in words is four hundred thirty-seven fortieths (or ten and thirty-seven fortieths).

How do we solve fractions step by step?

1.) Conversion a decimal number to a fraction: 0.25 = 25/100 = 1/4


a) Write down the decimal 0.25 divided by 1: 0.25 = 0.25/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.25/1
= 2.5/10
= 25/100

Note: 25/100 is called a decimal fraction.

c) Simplify and reduce the fraction
25/100
= 1 * 25/4 * 25
= 1 * 25/4 * 25
= 1/4

2.) Conversion a decimal number to a fraction: 43.7 = 437/10 = 437/10


a) Write down the decimal 43.7 divided by 1: 43.7 = 43.7/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
43.7/1. = 437/10

Note: 437/10 is called a decimal fraction.

c) Simplify and reduce the fraction
437/10 = 437 * 1/10 * 1= 437 * 1/10 * 1


3.)Multiple: 0.25 * 43.7 = 1 · 437/4 · 10
= 437/40

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(437, 40) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one quarter multiplied by four hundred thirty-seven tenths is four hundred thirty-seven fortieths.
answered
User Teagan
by
8.7k points
2 votes

Answer:

43.7 x 0.25 is 10.925

Explanation:

To multiply decimals, we can use the following steps:

1. Multiply the numbers as if they were whole numbers, ignoring the decimal points.

2. Count the total number of decimal places in the factors being multiplied. This will be the number of decimal places in the product.

3. Place the decimal point in the product so that it has the same number of decimal places as the total counted in step 2.

Using these steps, we can find the product of 43.7 and 0.25 as follows:

1. 437 x 25 = 10925

2. There are two decimal places in 43.7 and two decimal places in 0.25, so there are a total of four decimal places in the factors being multiplied.

3. Place the decimal point in the product so that it has four decimal places: 10.925

Therefore, the value of 43.7 x 0.25 is 10.925.

answered
User Merlinabarzda
by
7.7k points

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